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Full-Text Articles in Physical Sciences and Mathematics
Nonlinear Schrödinger Equation Solitons On Quantum Droplets, A. Ludu, A.S. Carstea
Nonlinear Schrödinger Equation Solitons On Quantum Droplets, A. Ludu, A.S. Carstea
Publications
Irrotational flow of a spherical thin liquid layer surrounding a rigid core is described using the defocusing nonlinear Schrödinger equation. Accordingly, azimuthal moving nonlinear waves are modeled by periodic dark solitons expressed by elliptic functions. In the quantum regime the algebraic Bethe ansatz is used in order to capture the energy levels of such motions, which we expect to be relevant for the dynamics of the nuclear clusters in deformed heavy nuclei surface modeled by quantum liquid drops. In order to validate the model we match our theoretical energy spectra with experimental results on energy, angular momentum, and parity for …
Interaction Of Tollmien-Schlichting Waves In The Air With The Sea Surface, Shahrdad G. Sajjadi, Harihar Khanal
Interaction Of Tollmien-Schlichting Waves In The Air With The Sea Surface, Shahrdad G. Sajjadi, Harihar Khanal
Publications
No abstract provided.
Nonlinear Equations And Wavelets, Andrei Ludu
Nonlinear Phenomena In Nuclei: The Antisoliton Model For Fission, Andrei Ludu
Nonlinear Phenomena In Nuclei: The Antisoliton Model For Fission, Andrei Ludu
Andrei Ludu
No abstract provided.
Patterns On Liquid Surfaces: Cnoidal Waves, Compactons And Scaling, Andrei Ludu
Patterns On Liquid Surfaces: Cnoidal Waves, Compactons And Scaling, Andrei Ludu
Andrei Ludu
Localized patterns and nonlinear oscillation formation on the bounded free surface of an ideal incompressible liquid are analytically investigated. Cnoidal modes, solitons and compactons, as traveling non-axially symmetric shapes are discussed. A finite-difference differential generalized Korteweg-de Vries equation is shown to describe the three-dimensional motion of the fluid surface and the limit of long and shallow channels one re-obtains the well-known KdV equation. A tentative expansion formula for the representation of the general solution of a nonlinear equation, for given initial condition is introduced on a graphical-algebraic basis. The model is useful in multilayer fluid dynamics, cluster formation, and nuclear …
Alpha+28si Cluster Structure As Solitons On The Nuclear Surface, Andrei Ludu
Alpha+28si Cluster Structure As Solitons On The Nuclear Surface, Andrei Ludu
Andrei Ludu
No abstract provided.
Quasimolecular Resonances In Alpha+20ne Systems, Andrei Ludu
Quasimolecular Resonances In Alpha+20ne Systems, Andrei Ludu
Andrei Ludu
No abstract provided.
Cluster As Solitons On The Nuclear Surface, Andrei Ludu
Cluster As Solitons On The Nuclear Surface, Andrei Ludu
Andrei Ludu
No abstract provided.