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Finite symmetry transformation groups and exact solutions of Lax integrable systems

S.Y. Lou and Hong-Cai Ma

Chaos, Solitons & Fractals, 2006, vol. 30, issue 4, 804-821

Abstract: In this paper, a method is developed to directly find finite symmetry transformation groups and then symmetries of Lax integrable nonlinear physical systems. Some symmetry groups, symmetry algebras and exact solutions for the Kadomtsev–Petviashvili equation, the dispersive long-wave equation and the extended self-dual Yang–Mills equations are explicitly given.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:30:y:2006:i:4:p:804-821

DOI: 10.1016/j.chaos.2005.04.090

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