Complexiton solutions of the Korteweg–de Vries equation with self-consistent sources

Wen-Xiu Ma

Chaos, Solitons & Fractals, 2005, vol. 26, issue 5, 1453-1458

Abstract: Complexiton solutions to the Korteweg–de Vires equation with self-consistent sources are presented. The basic technique adopted is the Darboux transformation. The resulting solutions provide evidence that soliton equations with self-consistent sources can have complexiton solutions, in addition to soliton, positon and negaton solutions. This also implies that soliton equations with self-consistent sources possess some kind of analytical characteristics that linear differential equations possess and brings ideas toward classification of exact explicit solutions of nonlinear integrable differential equations.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:26:y:2005:i:5:p:1453-1458

DOI: 10.1016/j.chaos.2005.03.030

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