Applications of F-expansion method to the coupled KdV system  

作　　者：李保安 王明亮 

机构地区：[1]College of Science, Henan University of Science and Technology, Luoyang 471003, China [2]Department of Mathematics, Jilin University, Changehun 130000, China [3]Department of Mathematics, Lanzhou University, Lanzhou 730000, China

出　　处：《Chinese Physics B》2005年第9期1698-1706,共9页中国物理B（英文版）

基　　金：Project supported by the Natural Science Foundation of Henan Province of China （Grant No 0111050200） and the Science Foundation of Henan University of Science and Technology （Grant Nos 2004ZY040 and 2004ZD002）.

摘　　要：An extended F-expansion method for finding periodic wave solutions of nonlinear evolution equations in mathematical physics is presented, which can be thought of as a concentration of extended Jacobi elliptic function expansion method proposed more recently. By using the homogeneous balance principle and the extended F-expansion, more periodic wave solutions expressed by Jacobi elliptic functions for the coupled KdV equations are derived. In the limit cases, the solitary wave solutions and the other type of travelling wave solutions for the system are also obtained.An extended F-expansion method for finding periodic wave solutions of nonlinear evolution equations in mathematical physics is presented, which can be thought of as a concentration of extended Jacobi elliptic function expansion method proposed more recently. By using the homogeneous balance principle and the extended F-expansion, more periodic wave solutions expressed by Jacobi elliptic functions for the coupled KdV equations are derived. In the limit cases, the solitary wave solutions and the other type of travelling wave solutions for the system are also obtained.

关 键 词：coupled KdV equations extended F-expansion method Jacobi elliptic functions periodic wave solutions solitary wave solutions 

分 类 号：O175[理学—数学]