The Interactions of -Soliton Solutions for the Generalized ( )-Dimensional Variable-Coefficient Fifth-Order KdV Equation

Xiangrong Wang, Xiaoen Zhang, Yong Zhang and Huanhe Dong

Advances in Mathematical Physics, 2015, vol. 2015, 1-11

Abstract:

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:904671

DOI: 10.1155/2015/904671

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