文章基本信息

标题：The Interactions of -Soliton Solutions for the Generalized ()-Dimensional Variable-Coefficient Fifth-Order KdV Equation
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作者：Xiangrong Wang ; Xiaoen Zhang ; Yong Zhang 等
期刊名称：Advances in Mathematical Physics
印刷版ISSN：1687-9120
电子版ISSN：1687-9139
出版年度：2015
卷号：2015
DOI：10.1155/2015/904671
出版社：Hindawi Publishing Corporation
摘要：A generalized ()-dimensional variable-coefficient KdV equation is introduced, which can describe the interaction between a water wave and gravity-capillary waves better than the ()-dimensional KdV equation. The -soliton solutions of the ()-dimensional variable-coefficient fifth-order KdV equation are obtained via the Bell-polynomial method. Then the soliton fusion, fission, and the pursuing collision are analyzed depending on the influence of the coefficient ; when , the soliton fusion and fission will happen; when , the pursuing collision will occur. Moreover, the Bäcklund transformation of the equation is gotten according to the binary Bell-polynomial and the period wave solutions are given by applying the Riemann theta function method.