| 构造非线性波动方程孤波解的一种新方法 |
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| 引用本文： | 徐昌智,郑春龙. 构造非线性波动方程孤波解的一种新方法[J]. 浙江师范大学学报(自然科学版), 2003, 26(3): 238-242 |
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| 作者姓名： | 徐昌智 郑春龙 |
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| 作者单位： | 1. 金华教育学院,物理系,浙江,金华,321000
2. 丽水师范专科学校,物理系,浙江,丽水,323000 |
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| 摘 要： | 给出了构造非线性微分方程孤波解的一种方法，根据领头项分析，建立非线性微分方程与源方程一类特殊类型解的代数变换关系，利用该关系以及源方程的已知解，获得非线性微分方程的孤波解。用此方法构建了耦合KdV、KK、VB方程的孤波解。
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| 关 键 词： | 非线性波动方程 孤波解 非线性科学 代数变换关系 源方程 求解方法 |
| 文章编号： | 1001-5051-(2003)03-0238-05 |
| 修稿时间： | 2002-12-27 |
Study on soliton wave solutions of nonlinear wave equation with a new method |
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| XU Chang-zhi,ZHENG Chun-long. Study on soliton wave solutions of nonlinear wave equation with a new method[J]. Journal of Zhejiang Normal University Natural Sciences, 2003, 26(3): 238-242 |
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| Authors: | XU Chang-zhi ZHENG Chun-long |
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| Abstract: | This paper introduced a new approach for solving nonlinear partial differential equations. A simple algebraic transformation relation of a special type of solution was established between the nonlinear partial differential equation and the source equation by using leading analysis. With the aid of this relation and known solutions of the sorece equation,abundant soliton wave solutions were deri ved for the nonlinear partial differential equation. This method was applied to solve the couple KdV physi-cal model,KK system and VB equations. |
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| Keywords: | nonlinear equation source equation algebraic transformation relation leading order soliton wave solution |
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