Doubly and Triply Periodic Waves Solutions for the KdV Equation

Ying Huang, Dengguo Xu

Department of Mathematics, Chuxiong Normal University, Chuxiong, China.

DOI: 10.4236/am.2013.412216                

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.

Keywords

KdV Equation; Doubly Periodic Solution; Triply Periodic Solution; Darboux Transformation

Conflicts of Interest

The authors declare no conflicts of interest.

References

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