A new auxiliary equation method for finding travelling wave solutions to KdV equation  

作　　者：庞晶 边春泉 朝鲁 

机构地区：[1]College of Science,Inner Mongolia University of Technology [2]Department of Mathematics,Shanghai Maritime University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第7期929-936,共8页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China (No.10461005);the Ph.D.Programs Foundation of Ministry of Education of China (No.20070128001);the High Education Science Research Program of Inner Mongolia (No.NJZY08057)

摘　　要：In this paper, a new auxiliary equation method is used to find exact travelling wave solutions to the （1＋1）-dimensional KdV equation. Some exact travelling wave solu- tions with parameters have been obtained, which cover the existing solutions. Compared to other methods, the presented method is more direct, more concise, more effective, and easier for calculations. In addition, it can be used to solve other nonlinear evolution equations in mathematical physics.In this paper, a new auxiliary equation method is used to find exact travelling wave solutions to the （1＋1）-dimensional KdV equation. Some exact travelling wave solu- tions with parameters have been obtained, which cover the existing solutions. Compared to other methods, the presented method is more direct, more concise, more effective, and easier for calculations. In addition, it can be used to solve other nonlinear evolution equations in mathematical physics.

关 键 词：auxiliary equation method travelling wave solution KdV equation homogeneous balance method 

分 类 号：O241.8[理学—计算数学]