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 作者单位： 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： 理论物理通讯（英文版） ISTIC SCI 英文刊名： COMMUNICATIONS IN THEORETICAL PHYSICS 年，卷(期)： 2005 43(3) 分类号： 关键词： elliptic equation Jacobi elliptic function periodic wave solution rational form