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

作者:Tang Yaning; Xu Wei*; Gao Liang; Shen Jianwei
来源:Chaos Solitons & Fractals, 2007, 32(5): 1846-1852.
DOI:10.1016/j.chaos.2005.12.022

摘要

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.