Article (Scientific journals)
Structure of soliton bound states in the parametrically driven and damped nonlinear systems
Bogdan, M.M.; Charkina, Oksana
2022In Low Temperature Physics, 48, p. 1062-1070
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Abstract :
[en] Static soliton bound states in nonlinear systems are investigated analytically and numerically in the framework of the parametrically driven and damped nonlinear Schrödinger equation. We find that the ordinary differential equations, which determine bound soliton solutions, can be transformed into the form resembling the Schrödinger-like equations for eigenfunctions with fixed eigenvalues. We assume that a nonlinear part of the equations is close to the reflectionless potential well occurring in the scattering problem associated with the integrable equations. We show that symmetric two-hump soliton solution is quite well described analytically by the three-soliton formula with the fixed soliton parameters, depending on the strength of parametric pumping and the dissipation constant.
Disciplines :
Physics
Author, co-author :
Bogdan, M.M.;  B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine
Charkina, Oksana ;  University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
External co-authors :
yes
Language :
English
Title :
Structure of soliton bound states in the parametrically driven and damped nonlinear systems
Alternative titles :
[en] Structure of soliton bound states in the parametrically driven and damped nonlinear systems
Publication date :
07 December 2022
Journal title :
Low Temperature Physics
ISSN :
1090-6517
Publisher :
American Institute of Physics, United States - New York
Volume :
48
Pages :
1062-1070
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Physics and Materials Science
FnR Project :
FNR13718694 - Quantum-based Machine Learning For Flexible Molecules, 2019 (01/09/2020-31/08/2023) - Igor Poltavskyi
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