Stability and quasi-equidistant propagation of NLS soliton trains

DOI10.1016/S0375-9601(98)00152-2zbMath0948.81658MaRDI QIDQ1966687

D. J. Kaup, E. G. Evstatiev, G. L. Diankov, Ivan M. Uzunov, Vladimir S. Gerdjikov

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorcomplex Toda chain

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Electromagnetic interaction; quantum electrodynamics (81V10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (11)

Interaction ofNsolitons in the massive Thirring model and optical gap system: The complex Toda chain model ⋮ Modeling adiabatic \(N\)-soliton interactions and perturbations ⋮ N-Soliton Interactions for the Manakov System: Effects of External Potentials ⋮ Adiabatic interactions of Manakov solitons -- effects of cross-modulation ⋮ \(N\)-soliton train and generalized complex Toda chain for the Manakov system ⋮ Stability and quasi-equidistant propagation of NLS soliton trains ⋮ 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 ⋮ Adiabatic and non-adiabatic soliton interactions in nonlinear optics ⋮ On Asymptotic Dynamical Regimes of Manakov N-soliton Trains in Adiabatic Approximation ⋮ Manakov solitons and effects of external potential wells

Cites Work

• Interactions of solitons in nonintegrable systems: direct perturbation method and applications
• A perturbational approach to the two-soliton systems
• Theory of nonlinear lattices.
• Three integrable Hamiltonian systems connected with isospectral deformations
• Stability and quasi-equidistant propagation of NLS soliton trains
• The Toda lattice. II. Existence of integrals
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