Doubly and Triply Periodic Waves Solutions for the KdV Equation - Applied Mathematics

AM > Vol.4 No.12, December 2013

Doubly and Triply Periodic Waves Solutions for the KdV Equation ()

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DOI: 10.4236/am.2013.412216 3,599 Downloads 6,039 Views Citations

Author(s)

Ying Huang, Dengguo Xu

Affiliation(s)

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

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

Share and Cite:

Huang, Y. and Xu, D. (2013) Doubly and Triply Periodic Waves Solutions for the KdV Equation. Applied Mathematics, 4, 1599-1062. doi: 10.4236/am.2013.412216.

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