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推广的tanh-函数法及其在偏微分方程(组)中的应用
Extended tanh-function method and its applications in partial differential equations
【摘要】 将推广了的tanh 函数法应用到数学物理中的某些重要偏微分方程 (组 )中 ,借用推广tanh 函数法的参数符号尽可能统一地求得不同类型的孤立子解 ,其中包含扭状、有理分式、周期解形式 .
【Abstract】 Tanh function method is extended and then us ed to solve some significant PDEs in mathematics and physics. The parameter nota tions of tanh function method are quoted to obtain various solitary solutions a s uniformly as possible, where the kink shape solutions, rational fraction solu tions, and periodic solutions are included.
【关键词】 偏微分方程;
孤立子解;
tanh-函数法;
【Key words】 partial differential equation; solitary solu tion; tanh function method;
【Key words】 partial differential equation; solitary solu tion; tanh function method;
【基金】 国家自然科学基金 (10 0 72 0 13 )
- 【文献出处】 甘肃工业大学学报 ,Journal of Gansu University of Technology , 编辑部邮箱 ,2002年02期
- 【分类号】O175.29
- 【被引频次】5
- 【下载频次】164