| 几种广义非线性发展方程的新解 |
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| 引用本文： | 李宁,套格图桑.几种广义非线性发展方程的新解[J].数学杂志,2016,36(5):1103-1110. |
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| 作者姓名： | 李宁 套格图桑 |
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| 作者单位： | 内蒙古师范大学数学科学学院, 内蒙古 呼和浩特 010022,内蒙古师范大学数学科学学院, 内蒙古 呼和浩特 010022 |
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| 基金项目： | 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). |
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| 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.
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| 关 键 词： | 辅助方程 广义KdV方程 广义KP-Burgers方程 |
| 收稿时间： | 2014/5/12 0:00:00 |
| 修稿时间： | 2014/9/3 0:00:00 |
THE NEW SOLUTIONS OF SOME KINDS OF GENERALIZED NONLINEAR EVOLUTION EQUATIONS |
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| LI Ning and Taogetusang.THE NEW SOLUTIONS OF SOME KINDS OF GENERALIZED NONLINEAR EVOLUTION EQUATIONS[J].Journal of Mathematics,2016,36(5):1103-1110. |
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| Authors: | LI Ning and Taogetusang |
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| Institution: | School of Mathematical Sciences, Inner Mongol Normal University, Hohhot 010022, China and School of Mathematical Sciences, Inner Mongol Normal University, Hohhot 010022, China |
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| Abstract: | In this paper, we study the problem of constructing the new solutions of the generalized KdV 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 KdV 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. |
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| Keywords: | auxiliary equation generalized KdV equation generalized KP-Burgers equation |
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