Generalized Lax Pair Operator Method and Nonautonomous Solitons

DOI10.1007/978-3-0348-0346-5_4zbMath1263.37075OpenAlexW2098382526MaRDI QIDQ2902846

V. N. Serkin, Akira Hasegawa, T. L. Belyaeva, Jing-Song He, Yi-Shen Li

Publication date: 22 August 2012

Published in: Recent Progress in Operator Theory and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0346-5_4

zbMATH Keywords

inverse scattering transform methodnonautonomous solitonsagitated breatherdispersion and nonlinearity variationsLax operator methodnonlinear Schrödinger equation with linear and harmonic oscillator potentialsSatsuma-Yajima breathervarying spectral parameter

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) General theory of partial differential operators (47F05) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Scattering theory of linear operators (47A40)

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