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2014 A Family of Novel Exact Solutions to 2+1-Dimensional KdV Equation
Zhen Wang, Li Zou, Zhi Zong, Hongde Qin
Abstr. Appl. Anal. 2014: 1-9 (2014). DOI: 10.1155/2014/764750


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.


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Zhen Wang. Li Zou. Zhi Zong. Hongde Qin. "A Family of Novel Exact Solutions to 2+1-Dimensional KdV Equation." Abstr. Appl. Anal. 2014 1 - 9, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07023040
MathSciNet: MR3193545
Digital Object Identifier: 10.1155/2014/764750

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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