Nonlinear waves in integrable and nonintegrable systems (Mathematical Modeling and Computation 16)ByJianke Yang

DOI10.1112/BLMS/BDU100zbMath1305.00040OpenAlexW2081719119MaRDI QIDQ5173362

Karima R. Khusnutdinova

Publication date: 9 February 2015

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdu100

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Soliton equations (35Q51) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) External book reviews (00A17) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Method for Solving the Korteweg-deVries Equation

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