TITLE:
Doubly and Triply Periodic Waves Solutions for the KdV Equation
AUTHORS:
Ying Huang, Dengguo Xu
KEYWORDS:
KdV Equation; Doubly Periodic Solution; Triply Periodic Solution; Darboux Transformation
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.12,
November
8,
2013
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.