Special conditional similarity reductions and exact solutions of the (2+1)-dimensional VCBKK system

Jian-Ping Fang, Jiang-Bo Li, Chun-Long Zheng and Qing-Bao Ren

Chaos, Solitons & Fractals, 2008, vol. 35, issue 3, 530-535

Abstract: In this paper, we present a method of special conditional similarity reductions for nonlinear partial differential equations. As an concrete example of its applications in physical problems, we apply this method to the (2+1)-dimensional Broer–Kaup–Kupershmidt system with variable coefficients (VCBKK), which has the extensive physics background, and obtain abundant exact solutions derived from some reduction equations.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:35:y:2008:i:3:p:530-535

DOI: 10.1016/j.chaos.2006.05.047

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