New solitary wave solutions for nonlinear evolution equations

doi:10.1088/1009-1963/11/9/302

中国物理B ›› 2002, Vol. 11 ›› Issue (9): 864-868.doi: 10.1088/1009-1963/11/9/302

New solitary wave solutions for nonlinear evolution equations

李志斌¹, 姚若侠²

(1)Department of Computer Science, East China Normal University, Shanghai 200062, China; (2)Department of Computer Science, East China Normal University, Shanghai 200062, China; Department of Computer Science, Weinan Teachers College, Weinan 714000, China

收稿日期:2001-12-14 修回日期:2002-05-22 出版日期:2002-09-12 发布日期:2005-06-12
基金资助:
Project supported by the Natural Science Foundation of the Education Bureau of Shaanxi Province, China (Grant No 01JK119), and the Natural Science Foundation of Shanghai, China (Grant No ZD14012).

New solitary wave solutions for nonlinear evolution equations

Yao Ruo-Xia (姚若侠)^ab, Li Zhi-Bin (李志斌)^a

^a Department of Computer Science, East China Normal University, Shanghai 200062, China; ^b Department of Computer Science, Weinan Teachers College, Weinan 714000, China

Received:2001-12-14 Revised:2002-05-22 Online:2002-09-12 Published:2005-06-12
Supported by:
Project supported by the Natural Science Foundation of the Education Bureau of Shaanxi Province, China (Grant No 01JK119), and the Natural Science Foundation of Shanghai, China (Grant No ZD14012).

摘要/Abstract

摘要： Three important nonlinear evolution equations are solved with the aid of the symbolic manipulation system, Maple, using the direct algebraic method proposed recently. We explicitly obtain several new solutions of physical interest in addition to rederiving all the known solutions.

Abstract: Three important nonlinear evolution equations are solved with the aid of the symbolic manipulation system, Maple, using the direct algebraic method proposed recently. We explicitly obtain several new solutions of physical interest in addition to rederiving all the known solutions.

Key words: nonlinear evolution equation, Riccati equations, solitary wave solution, symbolic computation

中图分类号: (Symbolic computation (computer algebra))

02.70.Wz

姚若侠, 李志斌. New solitary wave solutions for nonlinear evolution equations[J]. 中国物理B, 2002, 11(9): 864-868.

Yao Ruo-Xia (姚若侠), Li Zhi-Bin (李志斌). New solitary wave solutions for nonlinear evolution equations[J]. Chinese Physics, 2002, 11(9): 864-868.

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New solitary wave solutions for nonlinear evolution equations

New solitary wave solutions for nonlinear evolution equations

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