\(N\)-soliton train and generalized complex Toda chain for the Manakov system

DOI10.1007/s11232-007-0062-8zbMath1142.37041OpenAlexW2030168622MaRDI QIDQ926747

N. P. Matsuka, Evgeny V. Doktorov, Vladimir S. Gerdjikov

Publication date: 20 May 2008

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-007-0062-8

zbMATH Keywords

Manakov modeladiabatic dynamicsvector soliton train

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60)

Related Items (8)

Dynamics of repelling soliton collisions in coupled Schrödinger equations ⋮ N-Soliton Interactions for the Manakov System: Effects of External Potentials ⋮ 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 ⋮ Generalized perturbed complex Toda chain for Manakov system and exact solutions of Bose-Einstein mixtures ⋮ On Asymptotic Dynamical Regimes of Manakov N-soliton Trains in Adiabatic Approximation ⋮ Manakov solitons and effects of external potential wells

Cites Work

• Unnamed Item
• Integrable nonlinear Schrödinger systems and their soliton dynamics
• A perturbational approach to the two-soliton systems
• Stability and quasi-equidistant propagation of NLS soliton trains
• The complex Toda chains and the simple Lie algebras - solutions and large time asymptotics

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