A direct algebraic method applied to obtain complex solutions of some nonlinear partial differential equations

Huiqun Zhang

Chaos, Solitons & Fractals, 2009, vol. 39, issue 3, 1020-1026

Abstract: By using some exact solutions of an auxiliary ordinary differential equation, a direct algebraic method is described to construct the exact complex solutions for nonlinear partial differential equations. The method is implemented for the NLS equation, a new Hamiltonian amplitude equation, the coupled Schrodinger–KdV equations and the Hirota–Maccari equations. New exact complex solutions are obtained.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:39:y:2009:i:3:p:1020-1026

DOI: 10.1016/j.chaos.2007.03.002

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