A Family of Novel Exact Solutions to -Dimensional KdV Equation

Zhen Wang, Li Zou, Zhi Zong and Hongde Qin

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

Abstract:

We introduce two subequations with different independent variables for constructing exact solutions to nonlinear partial differential equations. In order to illustrate the efficiency and usefulness, we apply this method to -dimensional KdV equation, which was first derived by Boiti et al. (1986) using the idea of the weak Lax pair. As a result, we obtained many new exact solutions.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:764750

DOI: 10.1155/2014/764750

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