Classical Lie symmetries and reductions for a generalized NLS equation in 2+1 dimensions

DOI10.1080/14029251.2017.1418053zbMath1420.35059arXiv1802.06608OpenAlexW2779993262MaRDI QIDQ5231098

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Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.06608

zbMATH Keywords

similarity reductionsLax pairLie symmetries

Mathematics Subject Classification ID

Soliton equations (35Q51) Self-similar solutions to PDEs (35C06)

Related Items (1)

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

Cites Work

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• Integrable \(1+1\) dimensional hierarchies arising from reduction of a non-isospectral problem in \(2+1\) dimensions
• Symmetry reductions of a \(2+1\) Lax pair
• The role of symmetries in solving differential equations
• Symmetry computation and reduction of a wave model in \(2+1\) dimensions
• Painlevé Analysis and Singular Manifold Method for a (2 + 1) Dimensional Non-Linear Schrödinger Equation
• Symmetry Reductions of the Lax Pair of the Four-Dimensional Euclidean Self-Dual Yang-Mills Equations
• Exact envelope-soliton solutions of a nonlinear wave equation

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