KMS Of Academy of mathematics and systems sciences, CAS
| Numerical complexiton solutions for the complex KdV equation by the homotopy perturbation method | |
| An, Hong-Li1,2,4; Chen, Yong1,2,3,4 | |
| 2008-09-01 | |
| Source Publication | APPLIED MATHEMATICS AND COMPUTATION
 |
| ISSN | 0096-3003 |
| Volume | 203Issue:1Pages:125-133 |
| Abstract | 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. |
| Keyword | homotopy perturbation method complex KdV equation numerical solution numerical complexiton solutions |
| DOI | 10.1016/j.amc.2008.04.008 |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000258832700016 |
| Publisher | ELSEVIER SCIENCE INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/5652 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Chen, Yong |
| Affiliation | 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 |
| Recommended Citation 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. |
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