广义NNV方程组的新精确解和孤立波解  

New exact solutions and solitary wave solutions for the system of generalized NNV equations

作　　者：苗宝军[1] 梁庆利[1] 

机构地区：[1]许昌学院数学科学学院,河南许昌461000

出　　处：《合肥工业大学学报（自然科学版）》2011年第4期636-640,共5页Journal of Hefei University of Technology：Natural Science

基　　金：河南省自然科学基金资助项目(112300410186);河南省教育厅自然科学基金资助项目(2009A110016;2010A110019);许昌学院科学研究基金资助项目(2011B043)

摘　　要：文章利用扩展的(G'/G)-展开法,借助齐次平衡方法的思想原则,结合数学软件Maple环境中的Ep-silon软件包对非线性代数方程组进行计算,获得了广义Nizhnik-Novikov-Veselov(简称NNV)系统新的精确通解和孤立波解。从该文求方程组精确行波解的过程看,此方法也可以用来求解其它的高维非线性发展方程的精确行波解和孤立波解。Based on the principle of homogeneous balance method,and utilizing Epsilon package in the mathematical software Maple environment,non-linear algebraic equations are calculated by using the extended（G＇/G）-expansion method.New exact solutions and solitary wave solutions of the system of generalized Nizhnik-Novikov-Veselov（NNV） equations are obtained.According to the solving process of the exact travelling wave solutions for the equations,this expansion method is also suitable for solving exact travelling wave solutions and solitary wave solutions of the other high-dimensional non-linear development equations.

关 键 词：孤立波解 广义Nizhnik-Novikov-Veselov方程组 (G′/G)-展开法 齐次平衡原则 精确解 

分 类 号：O175.2[理学—数学]