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Chinese Physics, 2006, Vol. 15(12): 2809-2818    DOI: 10.1088/1009-1963/15/12/008
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The Jacobi elliptic function-like exact solutions to two kinds of KdV equations with variable coefficients and KdV equation with forcible term

Taogetusang(套格图桑) and Sirendaoerji(斯仁到尔吉)
College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022, China
Abstract  By use of an auxiliary equation and through a function transformation, the Jacobi elliptic function wave-like solutions, the degenerated soliton-like solutions and the triangle function wave solutions to two kinds of Korteweg--de Vries (KdV) equations with variable coefficients and a KdV equation with a forcible term are constructed with the help of symbolic computation system Mathematica, where the new solutions are also constructed.
Keywords:  auxiliary equation      KdV equation with variable coefficients      KdV equation with a forcible term      Jacobi elliptic function-like exact solutions  
Received:  06 March 2006      Accepted manuscript online: 
PACS:  02.30.Jr (Partial differential equations)  
  05.45.Yv (Solitons)  
Fund: Project supported by the National Natural Science Foundation of China(Grant No 10461006), the High Education Science Research Program(Grant No NJ02035) of Inner Mongolia Autonomous Region, Natural Science Foundation of Inner Mongolia Autonomous Region(Gr

Cite this article: 

Taogetusang(套格图桑) and Sirendaoerji(斯仁到尔吉) The Jacobi elliptic function-like exact solutions to two kinds of KdV equations with variable coefficients and KdV equation with forcible term 2006 Chinese Physics 15 2809

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