| 一般变系数KdV方程的精确解 |
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| 引用本文： | LiuXiqiang JiangSong. 一般变系数KdV方程的精确解[J]. 高校应用数学学报(英文版), 2001, 16(4): 377-380. DOI: 10.1007/s11766-001-0005-3 |
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| 作者姓名： | LiuXiqiang JiangSong |
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| 作者单位： | GraduateSchool,ChinaAcademyofEngineeringandPhysics,P.O.Box2101,Beijing100088 |
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| 基金项目： | Supported by the Develop Programme Foundation of the National Basic research(G1 9990 3 2 80 1 ) |
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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.
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| 关 键 词： | KdV方程 变量系数 非经典方法 对称性 PainleveII方程 |
Exact solutions for general variable-coefficient KdV equation |
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| Liu Xiqiang,Jiang Song. Exact solutions for general variable-coefficient KdV equation[J]. Applied Mathematics A Journal of Chinese Universities, 2001, 16(4): 377-380. DOI: 10.1007/s11766-001-0005-3 |
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| Authors: | Liu Xiqiang Jiang Song |
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| Affiliation: | (1) Graduate School, China Academy of Engineering and Physics, P.O. Box 2101, 100088 Beijing;(2) Dept. of Math., Liaocheng Teachers Univ., 252000 Shandong;(3) Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, 100088 Beijing |
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| Abstract: | 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. |
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| Keywords: | General variable coefficient KdV equation nonclassical method of symmetry reduction exact solution. |
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