变系数辅助方程法求解广义Burgers-KPP方程  

Variable-coefficient Auxiliary Equation Method and Traveling Wave Solutions to Generalized Burgers-PP Equation

作　　者：陈自高[1] 张愿章[1] 

机构地区：[1]华北水利水电学院,河南郑州450011

出　　处：《华北水利水电学院学报》2010年第6期149-152,共4页North China Institute of Water Conservancy and Hydroelectric Power

基　　金：河南省教育厅自然科学基金(2010A110012);河南省科技厅自然科学基金(102102210216)

摘　　要：提出了寻找非线性发展方程精确行波解的新的辅助方程法,通过选取变系数Bernoulli方程作为辅助常微分方程,根据齐次平衡原则,求解了广义Burgers-KPP方程,得到了该方程的行波解.所用方法可应用到其它类似方程的求解.A new auxiliary equation method is proposed for seeking traveling wave solutions of nonlinear evolution equations.As an example,variable-coefficient Bernoulli equation is chosen as auxiliary ordinary differential equation, according to homogeneous balance principle,the generalized Burgers-KPP equation has been solved,some new traveling wave solutions are obtained.The method used could be applied to solve other similar equations.

关 键 词：变系数辅助方程法 齐次平衡原则 Burgers-KPP方程 行波解 

分 类 号：O175.2[理学—数学]