Elliptic Equation and Its Direct Applications to Nonlinear Wave Equations

Elliptic equation is taken as an ansatz and applied to solve nonlinear wave equations directly. More kinds of solutions are directly obtained, such as rational solutions, solitary wave solutions, periodic wave solutions and so on.It is shown that this method is more powerful in giving more kinds of solutions, so it can be taken as a generalized method.

作 者： FU Zun-Tao CHEN Zhe LIU Shi-Da LIU Shi-Kuo   作者單位： FU Zun-Tao,LIU Shi-Da(School of Physics, Peking University, Beijing 100871, China;State Key Laboratory for Turbulence and Complex System, Peking University, Beijing 100871, China)

CHEN Zhe,LIU Shi-Kuo(School of Physics, Peking University, Beijing 100871, China) 

刊 名： 理論物理通訊(英文版)  ISTIC SCI 英文刊名： COMMUNICATIONS IN THEORETICAL PHYSICS  年，卷(期)： 2004 41(5)  分類(lèi)號(hào)：   關(guān)鍵詞： elliptic equation   Jacobi elliptic function   nonlinear equation   periodic wave solution  

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