An irrational trial equation method and its applications

被引:26
作者
Du, Xing-Hua [1 ]
机构
[1] Daqing Petr Inst, Dept Math, Daqing 163318, Peoples R China
来源
PRAMANA-JOURNAL OF PHYSICS | 2010年 / 75卷 / 03期
关键词
Trial equation method; exact solution; Burgers-KdV equation; dissipative double sine-Gordon equation; Fujimoto-Watanabe equation; NONLINEAR EVOLUTION-EQUATIONS; TRAVELING-WAVE SOLUTIONS; FACTORIZATIONS;
D O I
10.1007/s12043-010-0127-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An irrational trial equation method was proposed to solve nonlinear differential equations. By this method, a number of exact travelling wave solutions to the Burgers-KdV equation and the dissipative double sine-Gordon equation were obtained. A more general irrational trial equation method was discussed, and many exact solutions to the Fujimoto-Watanabe equation were given.
引用
收藏
页码:415 / 422
页数:8
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