New Rational Form Solutions to mKdV Equation

In this paper, new basic functions, which are composed of three basic Jacobi elliptic functions, are chosen as components of finite expansion. This finite expansion can be taken as an ansatz and applied to solve nonlinear wave equations. As an example, mKdV equation is solved, and more new rational form solutions are derived, such as periodic solutions of rational form, solitary wave solutions of rational form, and so on.

作 者： FU Zun-Tao LIU Shi-Kuo LIU Shi-Da   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)

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)： 2005 43(3)  分類號(hào)：   關(guān)鍵詞： elliptic equation   Jacobi elliptic function   periodic wave solution   rational form  

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