EXACT SOLUTIONS FOR GENERAL VARIABLE-COEFFICIENT KdV EQUATION 被引量：8

EXACT SOLUTIONS FOR GENERAL VARIABLE-COEFFICIENT KdV EQUATION

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摘要 By asing the nonclassical method of symmetry reductions, the exact solutions for general variable coefficient KdV equation with dissipative loss and nonuniformity terms are obtained. When the dissipative loss and nonuniformity terms don't exist, the multisoliton solutions are found and the corresponding Painleve II type equation for the variable coefficient KdV equation is given. By asing the nonclassical method of symmetry reductions, the exact solutions for general variable coefficient KdV equation with dissipative loss and nonuniformity terms are obtained. When the dissipative loss and nonuniformity terms don't exist, the multisoliton solutions are found and the corresponding Painleve II type equation for the variable coefficient KdV equation is given.

作者 Liu Xiqiang Jiang SongGraduate School, China Academy of Engineering and Physics, P.O. Box 2101, Beijing 100088 Dept. of Math., Liaocheng Teachers Univ., Shandong 252000. Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beiji

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2001年第4期377-380,共4页 高校应用数学学报（英文版）（B辑）

基金 Supported by the Develop Programme Foundation of the National Basic research(G1 9990 3 2 80 1 )

关键词 General variable coefficient KdV equation nonclassical method of symmetry reduction exact solution. General variable coefficient KdV equation, nonclassical method of symmetry reduction, exact solution.

分类号 O175.11 [理学—基础数学]

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