New Exact Travelling Wave Solutions to Hirota Equation and （l＋1）-DimensionalDispersive Long Wave Equation

作     者：WANGQi CHENYong LIBiao ZHANGHong-Qing 

作者机构：DepartmentofAppliedMathematicsDalianUniversityofTechnologyDalian116024China DepartmentofPhysicsNingboUniversityNingbo315211China KeyLaboratoryofMathematicsandMechanizationtheChineseAcademyofSciencesBeijing100080China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2004年第41卷第6期

页      面：821-828页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 0702[理学-物理学] 

基　　金：The project supported by National Natural Science Foundation of China under Grant No.10072013 the State Key Basic Research Development Program under Grant No.G1998030600 

主　　题：Hirota方程 行波解 扩散长波方程 Riccati投影方程 数学物理方法 

摘      要：Based on the computerized symbolic Maple, we study two important nonlinear evolution equations, i.e., the Hirota equation and the (1+1)-dimensional dispersive long wave equation by use of a direct and unified algebraic method named the general projective Riccati equation method to find more exact solutions to nonlinear differential equations. The method is more powerful than most of the existing tanh method. New and more general form solutions are obtained. The properties of the new formal solitary wave solutions are shown by some figures.