Solitons and their collisions in the spinor Bose-Einstein condensates

DOI10.1007/s11071-012-0334-1zbMath1257.82010OpenAlexW1999616283MaRDI QIDQ1928987

Ming Wang, Bo Tian, Xing Lü, Yu-Shan Xue, Wen-Rui Shan

Publication date: 4 January 2013

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

Full work available at URL: https://doi.org/10.1007/s11071-012-0334-1

zbMATH Keywords

symbolic computationsoliton collisions\(F=1\) Bose-Einstein condensatethree component Gross-Pitaevskii equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum equilibrium statistical mechanics (general) (82B10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Statistical mechanics of magnetic materials (82D40)

Related Items

The management of matter rogue waves in F = 1 spinor Bose–Einstein condensates, Soliton collisions in spin–orbit coupled spin-1 Bose–Einstein condensates, Three-component Gross-Pitaevskii equations in the spin-1 Bose-Einstein condensate: Spin-rotation symmetry, matter-wave solutions, and dynamics, Bäcklund transformations and soliton solutions for a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation in fluid dynamics, Scattering of solitons in binary Bose-Einstein condensates with spin-orbit and Rabi couplings

Cites Work

• Unnamed Item
• Wronskian solutions and integrability for a generalized variable-coefficient forced Korteweg-de Vries equation in fluids
• Soliton-like solutions of a derivative nonlinear Schrödinger equation with variable coefficients in inhomogeneous optical fibers
• Painlevé integrability and \(N\)-soliton solution for the variable-coefficient Zakharov-Kuznetsov equation from plasmas
• Inelastic interactions and double Wronskian solutions for the Whitham–Broer–Kaup model in shallow water
• Painlevé singularity structure analysis of three component Gross–Pitaevskii type equations
• Matter-Wave Solitons in an F=1 Spinor Bose–Einstein Condensate
• Exact envelope-soliton solutions of a nonlinear wave equation