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THE EXTENDED JACOBIAN ELLIPTIC FUNCTION EXPANSION METHOD AND ITS APPLICATIONS IN WEAKLY NONLINEAR WAVE EQUATIONS 被引量:1

THE EXTENDED JACOBIAN ELLIPTIC FUNCTION EXPANSION METHOD AND ITS APPLICATIONS IN WEAKLY NONLINEAR WAVE EQUATIONS
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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.
出处 《Journal of Hydrodynamics》 SCIE EI CSCD 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)
关键词 Jacobian elliptic function expansion method the coupled ZK equation the coupled KP equation Jacobian elliptic function expansion method,the coupled ZK equation, the coupled KP equation
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