几种广义非线性发展方程的新解  

THE NEW SOLUTIONS OF SOME KINDS OF GENERALIZED NONLINEAR EVOLUTION EQUATIONS

作　　者：李宁[1] 套格图桑[1] 

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《数学杂志》2016年第5期1103-1110,共8页Journal of Mathematics

基　　金：国家自然科学基金资助(11361040);内蒙古自治区高等学校科学研究基金资助(NJZY12031);内蒙古自治区自然科学基金资助(2015MS0128)

摘　　要：本文研究了构造了广义Kd V方程和广义KP-Burgers方程等几种广义非线性发展方程的新解的问题.利用三种辅助方程及其新解,获得了广义Kd V方程和广义KP-Burgers方程等几种广义非线性发展方程的新解.这些解由双曲余割函数、双曲正切函数、双曲正割函数、双曲余切函数和余割函数组成.In this paper,we study the problem of constructing the new solutions of the generalized Kd V equation,the generalized KP-Burgers equation and some other kinds of generalized nonlinear evolution equations.By using three kinds of auxiliary equations and their new solutions,the new solutions of generalized Kd V equation,generalized KP-Burgers equation and some other kinds of generalized nonlinear evolution equations are constructed.These solutions are consisting of hyperbolic cosecant function,hyperbolic tangent function,hyperbolic secant function,hyperbolic cotangent function and cosecant function.

关 键 词：辅助方程 广义Kd V方程 广义KP-Burgers方程 

分 类 号：O175.29[理学—数学]