A systematic method to construct Hirota's transformations of continuous soliton equations and its applications
文献类型：期刊论文
| 作者 | Wang, DS |
| 刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
 |
| 出版日期 | 2009 |
| 卷号 | 58期号:1页码:146 |
| 关键词 | PARTIAL-DIFFERENTIAL-EQUATIONS DE-VRIES EQUATION BACKLUND-TRANSFORMATIONS 3-SOLITON CONDITION BILINEAR EQUATIONS TODA LATTICE SEARCH |
| ISSN号 | 0898-1221 |
| 通讯作者 | Wang, DS: Chinese Acad Sci, Inst Phys, Beijing Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R China. |
| 中文摘要 | Hirota's bilinear method is a powerful tool for obtaining a wide class of exact solutions of soliton equations. The crucial step of this method is to find a suitable dependent variable transformation, i.e. Hirota's transformation, which transforms a soliton equation into a Hirota bilinear equation. In this paper, a systematic method to construct Hirota's transformations of continuous soliton equations is proposed. And some examples are given to illuminate the availability of this method. In addition, a new two-soliton solution of a coupled nonlinear Schrodinger equation is obtained. (C) 2009 Published by Elsevier Ltd |
| 收录类别 | SCI |
| 资助信息 | NSFC [10726063]; 973 Project [2004CB318001]; Chinese Academy of Sciences-Australia BHP Billiton Sholarship |
| 语种 | 英语 |
| 公开日期 | 2013-09-17 |
| 源URL | [http://ir.iphy.ac.cn/handle/311004/33306]  |
| 专题 | 物理研究所_物理所公开发表论文_物理所公开发表论文_期刊论文 |
| 推荐引用方式 GB/T 7714 | Wang, DS. A systematic method to construct Hirota's transformations of continuous soliton equations and its applications[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2009,58(1):146. |
| APA | Wang, DS.(2009).A systematic method to construct Hirota's transformations of continuous soliton equations and its applications.COMPUTERS & MATHEMATICS WITH APPLICATIONS,58(1),146. |
| MLA | Wang, DS."A systematic method to construct Hirota's transformations of continuous soliton equations and its applications".COMPUTERS & MATHEMATICS WITH APPLICATIONS 58.1(2009):146. |
入库方式： OAI收割
来源：物理研究所
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