Spectral problem for a two-component nonlinear Schrödinger equation in \(2 + 1\) dimensions: singular manifold method and Lie point symmetries

DOI10.1016/J.AMC.2019.03.013zbMath1428.35476arXiv1807.09039OpenAlexW2883065402MaRDI QIDQ2009411

Yanyan Li

Publication date: 28 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.09039

zbMATH Keywords

Painlevé propertyintegrabilitynonlinear Schrödinger equationsimilarity reductionsLax pairLie symmetries

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Geometric theory, characteristics, transformations in context of PDEs (35A30) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

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