| (3+1)维孤子方程的周期孤波解 |
| |
| 引用本文： | 傅海明,戴正德.(3+1)维孤子方程的周期孤波解[J].东北师大学报(自然科学版),2011,43(1):16-19. |
| |
| 作者姓名： | 傅海明 戴正德 |
| |
| 作者单位： | 广州大学华软软件学院;云南大学数学与统计学院; |
| |
| 基金项目： | 国家自然科学基金资助项目(10661002); 云南省自然科学基金资助项目(2006A0082M) |
| |
| 摘 要： | 扩展了Hirota法,即将Hirota法中的测试函数用新的测试函数来替代,并利用扩展了的方法来构造(3+1)维孤子方程的新的周期孤波解、周期双孤波解、双周期双孤波解.显然扩展的Hirota方法也可以解其他一些非线性发展方程.
|
| 关 键 词： | (3+1)维孤子方程 Hirota方法 周期孤波解 周期双孤波解 双周期双孤波解 |
Periodic-soliton wave solutions for(3+1)-dimensional soliton equation |
| |
| FU Hai-ming,DAI Zheng-de.Periodic-soliton wave solutions for(3+1)-dimensional soliton equation[J].Journal of Northeast Normal University (Natural Science Edition),2011,43(1):16-19. |
| |
| Authors: | FU Hai-ming DAI Zheng-de |
| |
| Institution: | FU Hai-ming1,DAI Zheng-de2(1.South China Institute of Software Engineering,Guangzhou University,Conghua 510990,China,2.College of Mathematics,Yunnan University,Kunming 650091,China) |
| |
| Abstract: | Hirota method proposed recently is extended to construct more exact solutions of nonlinear evolution equations.To be more precise,new text function is used instead of text function in Hirota method.By using the extended Hirota method,(3+1)-dimensional soliton equation is solved an abundance of exact periodic-soliton wave solutions,periodic double soliton wave solutions,double periodic double soliton wave solutions.Obviously,the extended Hirota method can be applied to solve some other nonlinear evolution eq... |
| |
| Keywords: | (3 1)-dimensional soliton equation Hirota method periodic-soliton wave solutions periodic double soliton wave solutions double periodic double soliton wave solutions |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
