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Doubly and Triply Periodic Waves Solutions for the KdV Equation
Department of Mathematics, Chuxiong Normal University, Chuxiong, China
Department of Mathematics, Chuxiong Normal University, Chuxiong, China
- 1 Department of Mathematics, Chuxiong Normal University, Chuxiong, China
- 2 Department of Mathematics, Chuxiong Normal University, Chuxiong, China
Applied Mathematics·Volume 04 (2013)·Pages 1599–1062·Published 8 November 2013·DOI10.4236/am.2013.412216
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Abstract
Based on the arbitrary constant solution, a series of explicit doubly periodic solutions and triply periodic solutions for the Korteweg-de Vries (KdV) equation are first constructed with the aid of the Darboux transformation method.
KeywordsKdV EquationDoubly Periodic SolutionTriply Periodic SolutionDarboux Transformation
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