An auxiliary equation technique and exact solutions for a nonlinear Klein–Gordon equation

Xiumei Lv, Shaoyong Lai and YongHong Wu

Chaos, Solitons & Fractals, 2009, vol. 41, issue 1, 82-90

Abstract: A mathematical technique based on an auxiliary equation and the symbolic computation system Matlab is developed to construct the exact travelling wave solutions to a nonlinear Klein–Gordon equation. Some new solutions including the Jacobi elliptic function solutions, the degenerated soliton-like solutions and the triangle function solutions to the equation are obtained.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:1:p:82-90

DOI: 10.1016/j.chaos.2007.11.013

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