一类Brusselator反应扩散模型的显式精确行波解(英文)  

New Explicit and Exact Solutions of the Brusselator Reaction Diffusion Model

作　　者：夏铁成[1] 陈登远[2] 

机构地区：[1]渤海大学数学系,辽宁锦州121000 [2]上海大学数学系,上海200436

出　　处：《工程数学学报》2005年第1期187-190,共4页Chinese Journal of Engineering Mathematics

基　　金：Supported by the Special Funds for Major Specialities of Shanghai Educational Com mittee; NNSF of China (10371070) and the Nature Science Foundation of Educational Committee of Liaon -ing Province(2004C057).

摘　　要：运用双曲函数法和吴方法,我们获得了 Brusselator 反应扩散模型新的显式精确行波解。这些解包括了新的奇性孤波解,同期解和有理函数解。这个方法也可用于求解其它的非线性偏微分方程。By using hyperbola function and Wu-elimination method, some new explicit and exact travelling wave solutions for the Brusselator reaction di?usion are obtained and including new singular solitary wave solutions, periodic solutions and rational function solutions. The method can solve other nonlinear partial di?erential equations.

关 键 词：Brusselator反应扩散模型 双曲函数法:吴代数消元法 奇性孤波解 周期解 

分 类 号：O175.29[理学—数学]