Soliton dynamics and interaction in the Bose-Einstein condensates with harmonic trapping potential and time-varying interatomic interaction

DOI10.1007/S11071-011-9969-6zbMath1243.82013OpenAlexW2054262559MaRDI QIDQ437228

Bo Tian, Wen-Jun Liu, Pan Wang, Kun Sun, Qi-Xing Qu, Yan Jiang

Publication date: 17 July 2012

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-011-9969-6

zbMATH Keywords

symbolic computationHirota methodsoliton interactionbright \(N\)-soliton solutionquasi-one-dimensional Gross-Pitaevskii equation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Interacting particle systems in time-dependent statistical mechanics (82C22) NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum equilibrium statistical mechanics (general) (82B10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items (3)

Conservation laws, bilinear Bäcklund transformations and solitons for a nonautonomous nonlinear Schrödinger equation with external potentials ⋮ Phase-shift controlling of three solitons in dispersion-decreasing fibers ⋮ Scattering of solitons in binary Bose-Einstein condensates with spin-orbit and Rabi couplings

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