Numerical complexiton solutions for the complex KdV equation by the homotopy perturbation method
文献类型：期刊论文
| 作者 | An, Hong-Li1,2,4; Chen, Yong1,2,3,4 |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2008-09-01 |
| 卷号 | 203期号:1页码:125-133 |
| 关键词 | homotopy perturbation method complex KdV equation numerical solution numerical complexiton solutions |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2008.04.008 |
| 英文摘要 | In this paper, the homotopy perturbation method is extended to investigate the numerical complexiton solutions of the complex KdV equation. By constructing special forms of initial conditions, three new types of realistic numerical solutions are obtained: numerical positon solution expressed by the trigonometric functions, numerical negaton solution expressed by the hyperbolic functions and particularly the numerical analytical complexiton solutions expressed by combinations of the two kinds of functions. All these numerical solutions obtained can rapidly converge to the exact solutions obtained by Lou et al. Illustrative numerical figures are exhibited the efficiency of the proposed method. (c) 2008 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[10735030] ; Shanghai Leading Academic Discipline Project[B412] ; Program for Changjiang Scholars and Innovative Research Team in University[IRT0734] ; Zhejiang Provincial Natural Science Foundations of China[Y604056] ; Doctoral Foundation of Ningbo City[2005A61030] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000258832700016 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5651]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, Yong |
| 作者单位 | 1.Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Peoples R China 2.Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China 3.E China Normal Univ, Inst Theoret Comp, Shanghai 200062, Peoples R China 4.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | An, Hong-Li,Chen, Yong. Numerical complexiton solutions for the complex KdV equation by the homotopy perturbation method[J]. APPLIED MATHEMATICS AND COMPUTATION,2008,203(1):125-133. |
| APA | An, Hong-Li,&Chen, Yong.(2008).Numerical complexiton solutions for the complex KdV equation by the homotopy perturbation method.APPLIED MATHEMATICS AND COMPUTATION,203(1),125-133. |
| MLA | An, Hong-Li,et al."Numerical complexiton solutions for the complex KdV equation by the homotopy perturbation method".APPLIED MATHEMATICS AND COMPUTATION 203.1(2008):125-133. |
入库方式： OAI收割
来源：数学与系统科学研究院
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