NLS-type equations in \(2+1\) dimensions: New type of solutions and non-isospectral problems

DOI10.1007/BF01017049zbMath0850.35109OpenAlexW2073808725MaRDI QIDQ1918835

Yanyan Li

Publication date: 3 September 1996

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

Full work available at URL: https://doi.org/10.1007/bf01017049

zbMATH Keywords

Lie point symmetriesnon-isospectral problemsbreaking-solutions

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) Invariance and symmetry properties for PDEs on manifolds (58J70)

Cites Work

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• Dromions and a boundary value problem for the Davey-Stewartson 1 equation
• Nonisospectral problems related to DS and other 2+1 dimensional nonlinear evolution equations
• Wave solutions of a (2+1)-dimensional generalization of the nonlinear Schr dinger equation
• Lax representations and Lax operator algebras of isospectral and nonisospectral hierarchies of evolution equations
• A new family of integrable models in (2+1) dimensions associated with Hermitian symmetric spaces
• Symmetries and differential equations

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