| 形变映射法求非线性方程的行波解 |
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| 引用本文： | 吴涛,陈贻汉,熊艳.形变映射法求非线性方程的行波解[J].湖北大学学报(自然科学版),2005,27(2):104-108. |
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| 作者姓名： | 吴涛 陈贻汉 熊艳 |
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| 作者单位： | 湖北大学,物理学与电子技术学院,湖北,武汉,430062;湖北大学,物理学与电子技术学院,湖北,武汉,430062;湖北大学,物理学与电子技术学院,湖北,武汉,430062 |
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| 摘 要： | 利用形变映射法，借助于计算机代数系统，得到一类非线性波动方程与非线性Klein—Gordon(NKG)方程特殊类型解之间的代数变换关系，由此获得了这类方程丰富的显式精确行波解，并且由这些解再次映射出了Boussinesq方程的行波解，并给出了波动图形及相关分析．
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| 关 键 词： | 非线性演化方程 形变映射法 计算机代数系统 Boussinesq方程 |
| 文章编号： | 1000-2375(2005)02-0104-05 |
| 修稿时间： | 2004年6月21日 |
Searching for traveling wave solutions of nonlinear equations by means of deformation mapping approach |
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| WU Tao,CHEN Yi-han,XIONG Yan.Searching for traveling wave solutions of nonlinear equations by means of deformation mapping approach[J].Journal of Hubei University(Natural Science Edition),2005,27(2):104-108. |
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| Authors: | WU Tao CHEN Yi-han XIONG Yan |
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| Abstract: | Deformation mapping approach is applied to solving a type of nonlinear wave equations .With the aid of computer algebraic system, a simple algebraic transformation relation between a special type of solution of the nonlinear Klein-Gordon(NKG) equation and the nonlinear wave equation is obtained. Thus, abundant explicit and exact traveling wave solutions of the class of nonlinear wave equation are obtained. Using the results above, the wave solutions of nonlinear Boussinesq equation are also found by means of the method . Thereafter the figures of the traveling wave solutions and related analysis are given. |
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| Keywords: | nonlinear evolution equation deformation mapping approach computer algebraic system Boussinesq equation |
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