Symmetry group and exact solutions for the 2+1 dimensional Ablowitz–Kaup–Newell–Segur equation

DOI10.1063/1.3268588zbMath1373.35021OpenAlexW2084302677MaRDI QIDQ3583751

Xuejun Xu, Ji Lin, Bo Ren

Publication date: 17 August 2010

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

Full work available at URL: https://doi.org/10.1063/1.3268588

zbMATH Keywords

Lie groupsFourier analysisSchrödinger equationnonlinear equationsAKNS equationspatiotemporal phenomena

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (3)

Exact solutions of supersymmetric Burgers equation with bosonization procedure ⋮ An extension to direct method of Clarkson and Kruskal and Painlavé analysis for the system of variable coefficient nonlinear partial differential equations ⋮ LUMP AND MIXED ROGUE-SOLITON SOLUTIONS TO THE 2+1 DIMENSIONAL ABLOWITZ-KAUP-NEWELL-SEGUR EQUATION

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