THE EXTENDED JACOBIAN ELLIPTIC FUNCTION EXPANSION METHOD AND ITS APPLICATIONS IN WEAKLY NONLINEAR WAVE EQUATIONS  

作　　者：HUANG Wen-hua LIU Yu-lu LU Zhi-ming PAN Bo-ying LIU Mao-sheng 

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China [2]Department of Physics, College of Science, Huzhou University, Huzhou 313000, China [3]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China PAN Bo-ying [4]Basic Department, YiChun Vocational Technical College, Yichun 336000, China

出　　处：《Journal of Hydrodynamics》2006年第3期352-361,共10页水动力学研究与进展B辑（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No.10272071)

摘　　要：The extended Jacobian elliptic function expansion method is introduced and applied to solve the coupled ZK equations and the coupled KP equations describing two weakly long nonlinear wave models in fluid system. Many types of doubly periodic traveling wave solutions are obtained. Under limiting conditions these solutions are reduced into solitary wave solutions.The extended Jacobian elliptic function expansion method is introduced and applied to solve the coupled ZK equations and the coupled KP equations describing two weakly long nonlinear wave models in fluid system. Many types of doubly periodic traveling wave solutions are obtained. Under limiting conditions these solutions are reduced into solitary wave solutions.

关 键 词：Jacobian elliptic function expansion method the coupled ZK equation the coupled KP equation 

分 类 号：O35[理学—流体力学]