New Travelling‐Wave Solutions for Dodd‐Bullough Equation

Guicheng Shen, Yunchuan Sun and Yongping Xiong

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: A new method, which assumes ϕ′ with a function form of f(eϕ), is applied to solve the Dodd‐Bullough equation ϕuv = eϕ − e−2ϕ through travelling‐wave transformation. A new family of explicit travelling wave solutions is derived. The proposed method works efficiently to be applied to solve other forms of Dodd‐Bullough equations.

Date: 2013
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https://doi.org/10.1155/2013/364718

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:364718

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