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| 利用改进的扩展tanh函数方法求解非线性发展方程(组)的行波解 | |
| 引用本文： | 额尔敦布和,特木尔朝鲁,白玉梅.利用改进的扩展tanh函数方法求解非线性发展方程(组)的行波解[J].内蒙古民族大学学报(自然科学版),2011,26(2). |
| 作者姓名： | 额尔敦布和 特木尔朝鲁 白玉梅 |
| 作者单位： | 1. 内蒙古工业大学,理学院,内蒙古呼和浩特,010051;呼和浩特民族学院,数学系,内蒙古呼和浩特,010051 2. 上海海事大学,文理学院,上海,200135 3. 内蒙古民族大学,数学学院,内蒙古通辽,028043 |
| 基金项目： | The work is supported by National Natural Science Fundation of china，Scientific Research Innovation Project of Shanghai Education Committee，he College Science Research Project of Inner Mongolia |
| 摘 要： | 基于一变系数Riccati方程及其解,在内行波变换和指数变换的辅助下,提出改进的扩展tanh函数方法及其算法.该方法对构造非线性发展方程(组)的精确行波解方面比tanh函数方法和各类扩展tanh函数方法更强劲.以Broer-Kaup方程组和近似长水波方程组为举例,得到包括三角周期波解、孤立波解、复杂波解和有理函数解等丰富有趣的行波解.该方法简洁有效,可适合应用于其它非线性发展方程(组). |
| 关 键 词： | 改进的扩展tanh函数方法 行波解 非线性发展方程(组) Broer-Kaup方程组 近似长水波方程组 |
Improved Extended Tanh Function Method to Travelling Wave Solutions for Nonlinear Evolution Equations |
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| Eerdun Buhe,Temuer Chaolu,BAI Yu-mei.Improved Extended Tanh Function Method to Travelling Wave Solutions for Nonlinear Evolution Equations[J].Journal of Inner Mongolia University for the Nationalities(Natural Sciences),2011,26(2). | |
| Authors: | Eerdun Buhe Temuer Chaolu BAI Yu-mei |
| Institution: | Eerdun Buhe~(1,2),Temuer Chaolu~3,BAI Yu-mei~4 (1.College of Sciences,Inner Mongolia University of Technology,Hohhot 010051,China,2.Department of Mathematics,Hohhot University for Nationalities,3.College of Art and Sciences,Shanghai Maritime University,Shanghai 200135,4.College of Mathematics,Inner Mongolia University for Nationalities,Tongliao 028043,China) |
| Abstract: | Based on a Riccati equation with variable coefficients and its solutions,with the help of an internal travelling wave transformation and an exponential transformation of functions,we present the improved extended tanh function method and its algorithm,which are powerful than the tanh function method and several forms of the extended tanh function method to construct new exact travelling wave solutions of nonlinear differential equations in mathematical physics.Both the Broer-Kaup equations and the approxima... |
| Keywords: | Improved extended tanh function method Travelling wave solutions Nonlinear evolution equations Broer-Kaup equations Approximate long water wave equations |
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