N-Soliton Interactions for the Manakov System: Effects of External Potentials

DOI10.1007/978-3-319-02057-0_7zbMath1326.35343OpenAlexW2220421061MaRDI QIDQ2949355

Vladimir S. Gerdjikov, Michail D. Todorov

Publication date: 8 October 2015

Published in: Nonlinear Systems and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-02057-0_7

zbMATH Keywords

Bose-Einstein condensatesToda chainnonlinear Schrödinger (NLS) equationManakov system\(N\)-soliton trainGross-Pitaevski (GP) equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items

Adiabatic interactions of Manakov solitons -- effects of cross-modulation, Asymptotic behavior of Manakov solitons: effects of potential wells and humps, Manakov model with gain/loss terms and \(N\)-soliton interactions: effects of periodic potentials, Manakov solitons and effects of external potential wells

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