An algebraic method with computerized symbolic computation for the one-dimensional generalized BBM equation of any order

Yaning Tang, Wei Xu, Liang Gao and Jianwei Shen

Chaos, Solitons & Fractals, 2007, vol. 32, issue 5, 1846-1852

Abstract: In this paper, an extended algebraic method with symbolic computation is applied to construct a series of travelling wave solutions of the one-dimensional generalized BBM equation of any order with positive and negative exponents. As a result, the proposed method gives many explicit exact solutions such as solitary wave solutions, periodic solutions, solitary patterns solutions and compacton solutions.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:32:y:2007:i:5:p:1846-1852

DOI: 10.1016/j.chaos.2005.12.022

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