Open Access. Powered by Scholars. Published by Universities.®
- Institution
-
- Technological University Dublin (62)
- Western Kentucky University (23)
- Virginia Commonwealth University (4)
- University of Kentucky (3)
- Illinois State University (2)
-
- Minnesota State University, Mankato (2)
- Montclair State University (2)
- Southern Methodist University (2)
- Wilfrid Laurier University (2)
- City University of New York (CUNY) (1)
- Claremont Colleges (1)
- Clemson University (1)
- College of Saint Benedict and Saint John's University (1)
- Dartmouth College (1)
- Karbala International Journal of Modern Science (1)
- LSU New Orleans (1)
- Mathematical Modelling and Numerical Simulation with Applications (1)
- Michigan Technological University (1)
- Old Dominion University (1)
- Purdue University (1)
- The University of Southern Mississippi (1)
- University of Arkansas, Fayetteville (1)
- University of Central Florida (1)
- University of Louisville (1)
- University of Lynchburg (1)
- University of New Mexico (1)
- University of Richmond (1)
- University of Texas at Arlington (1)
- Wayne State University (1)
- West Virginia University (1)
- Keyword
-
- Solitons (16)
- Peakons (10)
- Integrable systems (9)
- KdV equation (9)
- Camassa-Holm equation (6)
-
- Equatorial undercurrent (6)
- Selected recent publications (6)
- Internal waves (5)
- Inverse scattering (5)
- Lax Pair (5)
- Soliton theory (5)
- Hamiltonian system (4)
- Inverse Scattering (4)
- Lax pair (4)
- Integrability (3)
- Integrable Systems (3)
- Integrable equations (3)
- Inverse Scattering Method (3)
- Shear flow (3)
- Soliton (3)
- Solitons. (3)
- Vorticity (3)
- Water waves (3)
- Conservation Laws (2)
- Constant vorticity (2)
- Dewetting (2)
- Diffeomorphisms (2)
- Diffeomorphysm group (2)
- Fluid mechanics (2)
- Hamiltonian formulation (2)
- Publication Year
- Publication
-
- Articles (48)
- Mathematics Faculty Publications (24)
- Conference papers (12)
- Aviation Department Publications (2)
- Biology and Medicine Through Mathematics Conference (2)
-
- Book chapter/book (2)
- Mathematics Theses and Dissertations (2)
- Theses and Dissertations (2)
- Theses and Dissertations (Comprehensive) (2)
- Theses and Dissertations--Mathematics (2)
- All Dissertations (1)
- Annual Symposium on Biomathematics and Ecology Education and Research (1)
- CODEE Journal (1)
- Dartmouth College Master’s Theses (1)
- Department of Applied Mathematics and Statistics Faculty Scholarship and Creative Works (1)
- Department of Math & Statistics Faculty Publications (1)
- Department of Mathematics Faculty Scholarship and Creative Works (1)
- Dissertations (1)
- Dissertations, Master's Theses and Master's Reports (1)
- Dissertations, Theses, and Capstone Projects (1)
- Electrical & Computer Engineering Theses & Dissertations (1)
- Electronic Theses and Dissertations (1)
- Graduate Theses, Dissertations, and Problem Reports (ETD) (1)
- Honors Undergraduate Theses (1)
- Journal of Aviation Technology and Engineering (1)
- Karbala International Journal of Modern Science (1)
- LSU New Orleans Theses and Dissertations (1)
- Mathematical Modelling and Numerical Simulation with Applications (1)
- Mathematical Sciences Spring Lecture Series (1)
- Mathematics & Statistics ETDs (1)
- Publication Type
Articles 121 - 124 of 124
Full-Text Articles in Non-linear Dynamics
On The Integrability Of A Class Of Nonlinear Dispersive Wave Equations, Rossen Ivanov
On The Integrability Of A Class Of Nonlinear Dispersive Wave Equations, Rossen Ivanov
Articles
We investigate the integrability of a class of 1+1 dimensional models describing nonlinear dispersive waves in continuous media, e.g. cylindrical compressible hyperelastic rods, shallow water waves, etc. The only completely integrable cases coincide with the Camassa-Holm and Degasperis-Procesi equations.
On The Dressing Method For The Generalised Zakharov-Shabat System, Rossen Ivanov
On The Dressing Method For The Generalised Zakharov-Shabat System, Rossen Ivanov
Articles
The dressing procedure for the Generalised Zakharov-Shabat system is well known for systems, related to sl(N) algebras. We extend the method, constructing explicitly the dressing factors for some systems, related to orthogonal and symplectic Lie algebras. We consider ’dressed’ fundamental analytical solutions with simple poles at the prescribed eigenvalue points and obtain the corresponding Lax potentials, representing the soliton solutions for some important nonlinear evolution equations.
Some Stability Problems In Droplet Formation And Breakup (Report Lstm 351/T/92)., Nihad E. Daidzic
Some Stability Problems In Droplet Formation And Breakup (Report Lstm 351/T/92)., Nihad E. Daidzic
Aviation Department Publications
In this study the instability of droplets and cylindrical jets is investigated. The understanding of these processes has both academic and practical value. Instability of cylindrical jets is theoretically investigated for infinitesimal and finite, but small initial amplitudes (linear and nonlinear stability). For droplets, only linear theory is presented. It is assumed that the capillary force play a dominant role. It is determined that the viscosity exerts a damping effect. In the first section we give an introduction, after which the linear stability theory of cylindrical liquid jets is presented. In the third section the nonlinear jet stability theory is …
A Mathematical Model And Simulation Of Natural Circulation Loop Thermalhydraulics, Nihad E. Daidzic
A Mathematical Model And Simulation Of Natural Circulation Loop Thermalhydraulics, Nihad E. Daidzic
Aviation Department Publications
In this work, a simple, nonlinear, seventh-order mathematical model with lumped parameter analysis of the thermalhydraulic processes in a natural circulation steam boiler loop is presented. Digital simulation has been performed in order to predict open loop transients in severe accidental situations. Parts of the circulation loop such as the steam drum, downcomer, and riser were modelled separately on the basis of the integral balance equations. The two-phase flow in the steam drum and in the riser was modelled with the aid of a homogeneous-equilibrium, two-phase flow model. Special care was taken to ensure the stability of the numerical scheme, …