A Family of Novel Exact Solutions to (2 + 1)‐Dimensional KdV Equation

Zhen Wang, Li Zou, Zhi Zong and Hongde Qin

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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 (2 + 1)‐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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https://doi.org/10.1155/2014/764750

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:764750

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