Nonlinearization of the \(3\times 3\) matrix eigenvalue problem related to coupled nonlinear Schrödinger equations

DOI10.1006/jmaa.1998.6212zbMath0924.35149OpenAlexW2057838446MaRDI QIDQ1289034

Xiangguo Geng, Hui-Hui Dai

Publication date: 7 November 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6212

zbMATH Keywords

matrix eigenvalue problemcoupled nonlinear Schrödinger equationsfinite-dimensional Hamiltonian systemnonlinearization method

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (7)

Quasi-periodic solutions to the hierarchy of four-component Toda lattices ⋮ A vector generalization of Volterra type differential-difference equations ⋮ The full positive flows of Manakov hierarchy, Hamiltonian structures and conservation laws ⋮ Finite-dimensional integrable systems through the decomposition of a modified Boussinesq equation ⋮ New Neumann system associated with a \(3 \times 3\) matrix spectral problem ⋮ A finite-dimensional integrable system and the r-matrix method ⋮ Algebro-geometric solutions to the Manakov hierarchy

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• Integrals of nonlinear equations of evolution and solitary waves
• C Neumann and Bargmann systems associated with the coupled KdV soliton hierarchy
• An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems

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