求广义KP方程精确行波解的sine-cosine方法和推广的tanh方法  

The sine-cosine method and the extended tanh method for exact explicit travelling wave solutions of the extended KP equation

作　　者：韦敏志[1] 唐生强[1] 

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004

出　　处：《桂林电子科技大学学报》2012年第1期65-68,共4页Journal of Guilin University of Electronic Technology

基　　金：国家自然科学基金(10961011;11061010)

摘　　要：运用sine-cosine方法和推广的tanh方法求解广义KP方程,以获得其类孤立波解和紧孤子解,这2类精确解的主要特点是具有超强的稳定性,从而对非线性偏微分方程的研究具有重要的意义,sine-cosine方法和推广的tanh方法为众多的非线性偏微分方程的求解提供了有效的数学工具。By using sine-cosine method and extended tanh method,the compactons solutions and solitary patterns solutions of the extended equation is acquired.The key character of compactons solutions and solitary patterns solutions is the quite high stable,then the two explicit travelling wave solutions could play an important role in the study of nonlinear partial differential equations.The sine-cosine and the extended tanh function method provides a effective mathematical tool for solving a great many NP DEs in mathematical physics.

关 键 词：广义KP方程 类孤立波解 紧孤子解 sine-cosine方法 推广的tanh方法 

分 类 号：O175.2[理学—数学]