| 非线性发展方程的新精确解 |
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| 引用本文： | 徐昌智. 非线性发展方程的新精确解[J]. 内蒙古民族大学学报(自然科学版), 2004, 19(2): 130-134 |
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| 作者姓名： | 徐昌智 |
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| 作者单位： | 金华教育学院,浙江,金华,321000 |
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| 摘 要： | 提出寻找非线性发展方程精确行波解的新的直接截断展开法，用此方法研究了一个广义非线性物理模型．经行波法约化方程，根据领头项分析，给出了这个模型的一个变换，并把它变换为一个新的非线性方程，利用函数展开方法和非线性立方Klein-Gordon方程的解，获得非线性发展方程丰富的精确行波解，其中包含孤波解、周期波解、有理函数型孤立波解、雅可比椭圆函数解．本方法简单而有效，可推广应用一类非线性模型的求解．
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| 关 键 词： | 非线性发展方程 直接截断法 新精确解 孤波解 |
| 文章编号： | 1671-0185(2004)02-0130-05 |
| 修稿时间： | 2003-12-13 |
Exact Explicit Solutions of Nonlinear Evolution Equation |
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| XU Chang-zhi. Exact Explicit Solutions of Nonlinear Evolution Equation[J]. Journal of Inner Mongolia University for the Nationalities(Natural Sciences), 2004, 19(2): 130-134 |
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| Authors: | XU Chang-zhi |
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| Abstract: | In this work,a new direct ktruncatd approach for finding exact travelling wave solutions to nonlinear evolution equations is proposed and successfully applied to one generalized nonlinear physical models.Equations are reduced by using traveling wave method.A simple transformation relation are obtained by using leading order analysis and strating new form of nonlinear evolution equations.The abundant exact travelling wave solutions,which contain solitary wave solutions,periodic wave solutios,rational fraction solutions and Jacobian elliptic function solutions,are obtained by using extended function method and exact solutions of the cubic nonlinear Klein-Gordon equation.This method,a simple and effective,can also be apply to solve exact solutions of other nonlinear partial equation. |
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| Keywords: | Nonlinear evolution equation A direct ktruncatd approach New exact explicit solutions Solitary wave solutions |
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