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A Full-Scale Watertight Workflow Numerical Study For A Triangular Fin And Tube Heat Exchanger, Hamdi̇ Selçuk Çeli̇k, Bahadir Doğan, Lati̇fe Berri̇n Erbay Sep 2026

A Full-Scale Watertight Workflow Numerical Study For A Triangular Fin And Tube Heat Exchanger, Hamdi̇ Selçuk Çeli̇k, Bahadir Doğan, Lati̇fe Berri̇n Erbay

Turkish Journal of Mathematics

In this study, the thermo-hydraulic characteristics of an air-cooled triangular finned tube heat exchanger were analyzed numerically. The full-scale heat exchanger was modeled using Ansys Fluent watertight workflow, considering water as the primer fluid to precisely investigate the effects of geometrical factors. The effects of fin height, fin width, and fin spacing of the triangular fins on the performance of the heat exchanger were examined using k-ω turbulence model. A basic finned-tube heat exchanger model, which was manufactured as a monolithic structure without tube-fin contact resistance by milling from aluminum 5083 material, was tested in an air tunnel to verify …


Market Orientation And Strategic Performance In Global Firms: A Sequential Mediation Model Of Innovation And Supply Chain Resilience, Meisam Karami Sep 2026

Market Orientation And Strategic Performance In Global Firms: A Sequential Mediation Model Of Innovation And Supply Chain Resilience, Meisam Karami

Journal of Global Business Insights

This study examines how market orientation is associated with strategic performance in globally operating firms through the sequential mediating roles of innovation and supply chain resilience. Drawing on the Resource-Based View and Dynamic Capabilities Theory, the research proposes a capability-sequencing framework in which market orientation reflects a sensing capability, innovation represents a seizing capability, and supply chain resilience embodies a reconfiguring capability that stabilizes value creation under environmental disruption. Using cross-sectional survey data from 356 manufacturing and service firms engaged in international activities, partial least squares structural equation modeling was employed to test the hypothesized relationships. The results indicate that …


Technological Appropriation As A Strategic Policy In Smes: Building Anticipatory Capabilities For Digital Transformation, Hernán Cornejo Sep 2026

Technological Appropriation As A Strategic Policy In Smes: Building Anticipatory Capabilities For Digital Transformation, Hernán Cornejo

Journal of Global Business Insights

Abstract: Technological appropriation has become a critical strategic issue for small and medium-sized enterprises (SMEs) undergoing digital transformation. While many SMEs adopt digital tools to address immediate operational needs, fewer succeed in embedding them into organizational routines, strategic decision-making, and long-term adaptation. This study examines technological appropriation as a key mechanism through which SMEs convert digital adoption into strategic organizational capability. Drawing on the literature on technological appropriation, dynamic capabilities, and strategic foresight, the paper proposes and empirically tests an integrated model. A mixed-methods design was employed, combining a survey of 198 SMEs from Argentina, Chile, and Colombia with 15 …


Re: Butte Priority Soils Operable Unit (Bpsou) Final Bpsou Unreclaimed Sites Anderson Shaft Remedial Action Work Plan (Rawp) Request For Change Ur-2026-Ra-01, Mike Mcanulty Sep 2026

Re: Butte Priority Soils Operable Unit (Bpsou) Final Bpsou Unreclaimed Sites Anderson Shaft Remedial Action Work Plan (Rawp) Request For Change Ur-2026-Ra-01, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.


Revised Draft Final Annual Operations And Maintenance (O&M) Report: Butte Treatment Lagoon (Btl) System – 2025, Pioneer Technical Services, Inc. Sep 2026

Revised Draft Final Annual Operations And Maintenance (O&M) Report: Butte Treatment Lagoon (Btl) System – 2025, Pioneer Technical Services, Inc.

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.


Toward Equitable Energy Futures: The Influence Of Digital Government And Financial Development On Clean Energy Justice, Martin Spraggon, Muhammad Hafeez, Sana Ullah, Chanyanan Somthawinpongsai, Zurul Aisya Osman, Sidra Sohail Sep 2026

Toward Equitable Energy Futures: The Influence Of Digital Government And Financial Development On Clean Energy Justice, Martin Spraggon, Muhammad Hafeez, Sana Ullah, Chanyanan Somthawinpongsai, Zurul Aisya Osman, Sidra Sohail

All Works

Fossil fuel energy is the largest source of carbon emissions and the main driver of climate change and global warming. Therefore, the world is switching towards clean and green energy sources as an alternative to fossil fuel-based energy sources. Nevertheless, the equitable distribution of clean energy resources in urban and rural areas among every segment of society has become a concern for policymakers. Thus, urban-rural clean energy justice is an investigation topic that needs our attention. In this analysis, our main focus is on investigating the influence of financial development and digital government on clean energy justice using an advanced …


Inflation-Differential Rule Versus (De Facto Soft-Peg) Discretion: Exchange-Rate Management Approach In Developing Economies, Behnam Ebrahimi, Mohammad Vaez Barzani Dr. Sep 2026

Inflation-Differential Rule Versus (De Facto Soft-Peg) Discretion: Exchange-Rate Management Approach In Developing Economies, Behnam Ebrahimi, Mohammad Vaez Barzani Dr.

Bulletin of Monetary Economics and Banking

Many developing and emerging economies officially report a managed floating exchange-rate regime tailored with a fundamental exchange rate management approach, while in practice operating a de facto soft peg, characterized by discretionary, near-constant exchange-rate depreciation aimed at dampening inflation expectations. This discretionary approach—often justified as a pragmatic response to inflationary pressure—produces a hybrid regime that lacks the transparency and credibility emphasized in IMF policy guidance. This study evaluates whether substituting Discretionary Soft-Peg Exchange Rate Management approach with an Inflation-Differential Rule of Exchange Rate Management approach, which links exchange-rate adjustments to the inflation differential between domestic and rest of the world, …


Revised Draft Final Quarterly Operations And Maintenance Report: Butte Treatment Lagoon System – First Quarter 2026, Pioneer Technical Services, Inc. Sep 2026

Revised Draft Final Quarterly Operations And Maintenance Report: Butte Treatment Lagoon System – First Quarter 2026, Pioneer Technical Services, Inc.

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.


Re: Butte Priority Soils Operable Unit (Bpsou) Final Bpsou Unreclaimed Sites Anderson Shaft Remedial Action Work Plan (Rawp) Request For Change Ur-2026-Ra-01, Mike Mcanulty Sep 2026

Re: Butte Priority Soils Operable Unit (Bpsou) Final Bpsou Unreclaimed Sites Anderson Shaft Remedial Action Work Plan (Rawp) Request For Change Ur-2026-Ra-01, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.


Final 2023 Unreclaimed Sites Sampling: Ur-42 Site Evaluation Summary Report, Pioneer Technical Services, Inc. Sep 2026

Final 2023 Unreclaimed Sites Sampling: Ur-42 Site Evaluation Summary Report, Pioneer Technical Services, Inc.

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.


Fuse Annual Report 2026, Franklin University Library Sep 2026

Fuse Annual Report 2026, Franklin University Library

FUSE Annual Report

Learn about FUSE's performance during the August, 2025 - July, 2026 Academic Year in the Franklin University Library's annual report.


Aligning Tenure With Institutional Values: Supporting And Rewarding Engaged Scholarship In College Tenure Policies, Sian Bareket, Alexander R. Barron, Abigail O’Meara, Charavee Basnet Chettri Sep 2026

Aligning Tenure With Institutional Values: Supporting And Rewarding Engaged Scholarship In College Tenure Policies, Sian Bareket, Alexander R. Barron, Abigail O’Meara, Charavee Basnet Chettri

Environmental Science and Policy: Faculty Publications

Scholars have described the current era as a polycrisis, with climate change overlapping and interacting with other social justice and environmental challenges. While the expertise and capacity housed in academia has tremendous potential to help society face these threats, scholars and others have long critiqued academia as too isolated from the practical problems of society and front-line communities. While engaged scholarship (ES) connects academia and real-world problems, tenure policies are usually designed to primarily reward “traditional” scholarship focused on journal articles and academic books. This study sought to investigate the contrast between higher education institutions’ publicly shared values aligned with …


Scientific Uncertainty As Political Aggression: A Manifesto For Those Who Value Science And Want To Save It From State And Corporate Control, Stephen Demeo Sep 2026

Scientific Uncertainty As Political Aggression: A Manifesto For Those Who Value Science And Want To Save It From State And Corporate Control, Stephen Demeo

Publications and Research

A manifesto is an opportunity to publicly express strongly held beliefs about a topic that is personally important to an author. It is analytical as it is creative. “Scientific Uncertainty as Political Aggression” is a manifesto that intersects science and politics. It urges those interested in science to examine two different but related topics: scientific uncertainty in measurement—what it is, how it is determined, why it’s important— and the magnification of uncertainty through legal and linguistic tactics used by right-wing politicians and politically supported corporations.

For some time now, the Republican Establishment has cast excessive doubt on scientific findings through …


State Of The Fisheries: Status Reports Of The Fisheries And Aquatic Resources Of Western Australia 2024/25, Stephen J. Newman, Ainslie Denham, Lebo Selemela, Jenny Moore Sep 2026

State Of The Fisheries: Status Reports Of The Fisheries And Aquatic Resources Of Western Australia 2024/25, Stephen J. Newman, Ainslie Denham, Lebo Selemela, Jenny Moore

Status Reports of the Fisheries and Aquatic Resources

The Status Reports of the Fisheries and Aquatic Resources of Western Australia (SRFAR) provides an annual update on the state of the fish stocks and other aquatic resources of Western Australia (WA). These reports outline the most recent assessments of the cumulative risk status for each of the aquatic resources (assets) within WA’s six bioregions using an Ecosystem Based Fisheries Management (EBFM) approach. The Department of Primary Industries and Regional Dveelopment’s (DPIRD) risk based EBFM framework is the WA Government’s basis for management of all of WA’s aquatic resources.

Assets examined in each bioregion include the meso-scale ecosystems and aquatic …


The Role Of External Factors In Shaping Carbohydrate Conformational Landscapes, Murat Yaman Sep 2026

The Role Of External Factors In Shaping Carbohydrate Conformational Landscapes, Murat Yaman

Dissertations, Theses, and Capstone Projects

Carbohydrates (glycans) are among the most structurally diverse biomolecules and participate in a wide range of biological processes, including molecular recognition, cell adhesion, immune response, host-pathogen interactions, and cellular signaling. Their biological functions are governed by a complex interplay between sequence, stereochemistry, conformational flexibility, and environmental factors. However, the structural heterogeneity and dynamic nature of glycans present significant challenges for both experimental characterization and theoretical modeling. In particular, the relationships between glycan structure, conformational dynamics, and the resulting potential energy surfaces remain incomplete.

This dissertation investigates how external factors modulate the potential energy surfaces of carbohydrates through a combination of …


Ultrafast Spectroscopy Of Organic Materials In Strong Light–Matter Interaction And Terahertz Optics, Kamyar Rashidi Sep 2026

Ultrafast Spectroscopy Of Organic Materials In Strong Light–Matter Interaction And Terahertz Optics, Kamyar Rashidi

Dissertations, Theses, and Capstone Projects

Ultrafast spectroscopy is a powerful tool for investigating phenomena that occur on extremely short timescales and for probing ultrabroadband spectral responses enabled by its ultrashort laser pulses. These capabilities are essential for advancing both the fundamental understanding of light–matter interactions and the development of next-generation optoelectronic technologies. The first part of this thesis investigates the ultrafast dynamics of organic exciton–polaritons and their application to controlling molecular excited-state processes using momentum-resolved pump–probe spectroscopy. A major challenge in these systems is the dark-state problem, where photoexcitation predominantly populates long-lived excitonic reservoir states that obscure the in trinsic dynamics of the hybrid light–matter …


Bank Soundness Index For Indonesia: The Generalized Dynamic Principal Component Analysis Approach, Yusita Octina Budiyanti, Nasrudin Nasrudin Sep 2026

Bank Soundness Index For Indonesia: The Generalized Dynamic Principal Component Analysis Approach, Yusita Octina Budiyanti, Nasrudin Nasrudin

Bulletin of Monetary Economics and Banking

In Indonesia, the Bank Soundness Index (BSI) serves as an early warning instrument for assessing the stability of Conventional Commercial Banks (CCBs) and Islamic Commercial Banks (ICBs). This study develops the BSI employing the Generalized Dynamic Principal Component Analysis (GDPCA) methodology and incorporates the fundamental indicators from the Financial Soundness Indicators released by the IMF. The BSI for CCBs is formulated using three primary components, with the Operating Expense to Operating Income ratio assigned the greatest weight. Likewise, the BSI for ICBs is constituted by three primary components, with the Liquid Asset ratio carrying the greatest weight. The developed BSI …


Offline And Thriving: Understanding The Professional And Personal Lives Of Non-Social Media Users In A Digitally Dominant Era, Bhargava Mantena Sep 2026

Offline And Thriving: Understanding The Professional And Personal Lives Of Non-Social Media Users In A Digitally Dominant Era, Bhargava Mantena

Dissertations

Existing research has treated voluntary social media abstinence as the absence of users rather than as a condition worth study. This mixed-methods study examined its psychological and occupational correlates. Adults aged 21 to 65 reporting abstinence from all major platforms for six months or more completed three validated instruments measuring mental well-being, work engagement, and perceived social isolation; a purposive subsample of 12 took part in semi-structured interviews. The analysis set comprised 120 participants, below the 128 indicated by the a priori power analysis. Research Question 1 could not be tested as approved, because no active-user comparison group was recruited; …


Allochthonous Particulate Organic Carbon In Blue Carbon Ecosystems: Implications For Accounting, Stability, And Policy, Anirban Akhand, Inés Mazarrasa, Stacey M. Trevathan-Tackett, K. M.G. Mostofa, Abhra Chanda, Hongbin Liu, Hiroshi Sakugawa, Si Liang Li, Cong Qiang Liu, Catherine E. Lovelock, Paul Lavery, Hilary Kennedy, Peter I. Macreadie Sep 2026

Allochthonous Particulate Organic Carbon In Blue Carbon Ecosystems: Implications For Accounting, Stability, And Policy, Anirban Akhand, Inés Mazarrasa, Stacey M. Trevathan-Tackett, K. M.G. Mostofa, Abhra Chanda, Hongbin Liu, Hiroshi Sakugawa, Si Liang Li, Cong Qiang Liu, Catherine E. Lovelock, Paul Lavery, Hilary Kennedy, Peter I. Macreadie

Research outputs 2022 to 2026

Blue carbon ecosystems (BCEs) store a significant amount of organic carbon (OC) in their soils, including OC sequestered by other ecosystems and transported into these ecosystems, referred to as allochthonous OC. This study reviews the state-of-the-art knowledge on the abundance and sources (including still unexplored ones) of allochthonous particulate organic carbon (POC) and reviews the ways allochthonous POC is managed under the current blue carbon policy frameworks for carbon benefits accounting in blue carbon restoration and conservation projects. Based on a review of 102 studies, we find that 56 ± 25% of the soil organic carbon (SOC) deposits in BCEs …


The Prospector, September 1, 2026, Student Publications Sep 2026

The Prospector, September 1, 2026, Student Publications

The Prospector

No abstract provided.


Generalized Logit Adjustment: Improved Fine-Tuning By Mitigating Label Bias In Zero-Shot Vision Models, Beier Zhu, Qianru Sun, Xun Yang, Hanwang Zhang Sep 2026

Generalized Logit Adjustment: Improved Fine-Tuning By Mitigating Label Bias In Zero-Shot Vision Models, Beier Zhu, Qianru Sun, Xun Yang, Hanwang Zhang

Research Collection School Of Computing and Information Systems

Foundation models like CLIP allow zero-shot transfer on various tasks without additional training data. Yet, the zero-shot performance is less competitive than a fully supervised one. Thus, fine-tuning and ensembling are also commonly adopted to better fit the downstream tasks. However, we argue that such prior work has overlooked the inherent biases in foundation models. Due to the highly imbalanced Web-scale training set, foundation models are inevitably skewed toward frequent semantics, and thus the subsequent fine-tuning or ensembling is still biased. In this study, we systematically examine the biases in foundation models and demonstrate the efficacy of our proposed Generalized …


Restoring Linguistic Grounding In Vla Models Via Train-Free Attention Recalibration, Ninghao Zhang, Bin Zhu, Shijie Zhou, Jingjing Chen Sep 2026

Restoring Linguistic Grounding In Vla Models Via Train-Free Attention Recalibration, Ninghao Zhang, Bin Zhu, Shijie Zhou, Jingjing Chen

Research Collection School Of Computing and Information Systems

Vision-Language-Action (VLA) models enable robots to perform manipulation tasks directly from natural language instructions and are increasingly viewed as a foundation for generalist robotic policies. However, their reliability under Out-Of-Distribution (OOD) instructions remains underexplored. In this paper, we reveal a critical failure mode in which VLA policies continue executing visually plausible actions even when the language instruction contradicts the scene. We refer to this phenomenon as linguistic blindness, where VLA policies prioritize visual priors over instruction semantics during action generation. To systematically analyze this issue, we introduce ICBench, a diagnostic benchmark constructed from the LIBERO dataset that probes language–action coupling …


Facevalue: Exploring Real-Time Self-View Overlays To Prompt Meaning-Oriented Self-Awareness In Remote Meetings, Gun Woo (Warren) Park, Anthony Tang, Fanny Chevalier Sep 2026

Facevalue: Exploring Real-Time Self-View Overlays To Prompt Meaning-Oriented Self-Awareness In Remote Meetings, Gun Woo (Warren) Park, Anthony Tang, Fanny Chevalier

Research Collection School Of Computing and Information Systems

In remote video meetings, visual non-verbal cues, such as facial expressions or head movements, are seen continuously but often only partially. This increases ambiguity compared to in-person settings and can cause misinterpretation or misalignment between intended and perceived meaning. Motivated by communication theories, we designed FaceValue, a technology probe that augments the self-view with private, real-time overlays. These overlays are subtle, suggestive prompts intended to help attendees reflect on how their cues might be interpreted by others. To invite personal interpretation, FaceValue avoids behavioral labeling and instead aims to support meaning-oriented self-awareness: recognizing when visible cues may unintentionally (mis)communicate intent. …


From Green Presence To Perceived Greenery: Everyday Mobility And Perceptual Availability In Singapore, Ziheng Zeng, Sonny Rosenthal, Orlando Woods Sep 2026

From Green Presence To Perceived Greenery: Everyday Mobility And Perceptual Availability In Singapore, Ziheng Zeng, Sonny Rosenthal, Orlando Woods

Research Collection College of Integrative Studies

Urban greenery may be abundant in transit-oriented cities, yet green presence does not necessarily become perceptually available to people moving through it. This paper distinguishes green supply, perceived greenery, and green experience, and examines the step at which greenery enters awareness during travel. The study combined 21 days of ecological momentary assessment from 68 participants in Singapore, yielding 6,794 in-trip moments, and 25 route-reconstruction interviews. A satellite normalized difference vegetation index (NDVI) provided a top-down baseline of green supply, and a street-level green view index (GVI) from Google Street View (GSV), matched to 5,824 moments, provided a co-located eye-level baseline. …


Towards More Inclusive Ai Systems In Cities, Siew Ying Shee, Orlando Woods Sep 2026

Towards More Inclusive Ai Systems In Cities, Siew Ying Shee, Orlando Woods

Research Collection School of Social Sciences

Artificial Intelligence (AI) is increasingly embedded in urban infrastructures and governance, shaping how people, spaces, and futures are classified, prioritised, and managed. Yet, most AI systems are developed within a narrow set of linguistic and geopolitical contexts and exported globally, embedding particular epistemic assumptions into diverse urban environments. Even where formal inclusion metrics are met, such asymmetries can render certain populations and realities less legible within algorithmic systems. Prevailing approaches in digital inclusion—centred on fairness metrics, representation, or access—presume technologies as politically inert and bounded. Yet, the adaptive and probabilistic behaviour of contemporary AI disrupts this premise, challenging the idea …


Pda (Privacy-Preserving Distributed Algorithms) In Action: Ten Principles For High-Quality Multi-Site Clinical Evidence Generation, Yong Chen, Chongliang Luo, Et Al. Sep 2026

Pda (Privacy-Preserving Distributed Algorithms) In Action: Ten Principles For High-Quality Multi-Site Clinical Evidence Generation, Yong Chen, Chongliang Luo, Et Al.

2020-Current year OA Pubs

BACKGROUND: Distributed Research Networks (DRNs) offer significant opportunities for collaborative multi-site research and have significantly advanced healthcare research based on clinical observational data. However, generating high-quality real-world evidence using fit-for-use data from multi-site studies faces important challenges, including biases associated with various types of heterogeneity within and across sites and data sharing difficulties. Over the last 10 years, Privacy-Preserving Distributed Algorithms (PDA) have been developed and utilized in numerous national and international real-world studies spanning diverse domains, from comparative effectiveness research, target trial emulation, to healthcare delivery, policy evaluation, and system performance assessment. Despite these advances, there remains a lack …


Karhunen-Loève Modes For Coherent Arrays, Jack E. Mccrae, Santasri R. Bose-Pillai, Steven T. Fiorino Sep 2026

Karhunen-Loève Modes For Coherent Arrays, Jack E. Mccrae, Santasri R. Bose-Pillai, Steven T. Fiorino

Faculty Publications

The optimal modes for correcting atmospheric turbulence on coherent arrays are determined. These Karhunen-Loève modes are eigenvectors of a covariance matrix. Creating this covariance matrix requires knowledge of the power spectrum of the turbulence, the aperture geometry, and a basis set for the matrix. The Kolmogorov power law is ordinarily chosen here for the turbulence spectrum. By choosing the phase on each array subaperture element minus the phase averaged over all subapertures as this basis, infinite values in the variances and covariances can be avoided. The piston mode of the whole array, which would otherwise also be infinite, is thus …


Reinterpreting The Grand Ethiopian Renaissance Dam Dispute In The Nile Basin Through The Game Theories Of Attrition And Bargaining, Olileanya Amuche Ezugwu, Felix C. Chidozie, Adeola A. Adebajo Sep 2026

Reinterpreting The Grand Ethiopian Renaissance Dam Dispute In The Nile Basin Through The Game Theories Of Attrition And Bargaining, Olileanya Amuche Ezugwu, Felix C. Chidozie, Adeola A. Adebajo

Journal of Strategic Security

Why have more than a decade of negotiations, mediation efforts, and diplomatic interventions failed to produce a binding agreement on the Grand Ethiopian Renaissance Dam (GERD)? This article examines the hydro-politics of the Nile Basin through the lens of game theory, focusing on how bargaining behavior, strategic persistence, and competing perceptions of gains and losses shape state interactions. Drawing on the game of attrition and the bargaining game, the study analyzes the evolving strategies of Ethiopia, Egypt, and Sudan in the context of dam construction, filling, and operation. Rather than viewing the dispute solely as a contest over water allocation, …


Generalizations Of The Dirichlet Problem For Bianalytic Functions, William L. Blair Sep 2026

Generalizations Of The Dirichlet Problem For Bianalytic Functions, William L. Blair

Math Faculty Publications and Presentations

We prove the Dirichlet problem for second-order iterated Vekua equations, a natural generalization of the Bitsadze equation, is well-posed when the boundary condition is defined as a product of an exponential function and a polynomial on a non-degenerate conic that is not a circumference. Also, we extend this result, as well as other related results for the Dirichlet problem for polyanalytic and generalized analytic functions from the literature, to their analogues for bicomplex differential equations.


Pseudo-Traveling Waves And Bumps In Quantum And Classical Hierarchical Cellular Neural Networks, Wilson A. Zuniga-Galindo, B. A. Zambrano-Luna, Chayapuntika Indoung Sep 2026

Pseudo-Traveling Waves And Bumps In Quantum And Classical Hierarchical Cellular Neural Networks, Wilson A. Zuniga-Galindo, B. A. Zambrano-Luna, Chayapuntika Indoung

School of Mathematical & Statistical Sciences Faculty Publications

We study the existence of pseudo-traveling waves and bump solutions for two classes of hierarchical cellular neural networks (CNNs) defined over the ring of p-adic integers Zp. The first type is a p-adic CNN described by a reaction-diffusion equation, while the second type is its quantum analog obtained via Wick rotation. The p-adic CNNs are hierarchical versions of the classical Chua-Yang CNNs; these networks have a tree-like hierarchical architecture with infinitely many cells and hidden layers. The states are governed by integro-differential equations on Zp. The p-adic traveling waves behave fundamentally differently from their Archimedean counterparts. A traveling wave restricted …