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, Deng-Shan1,2,3 |
| 刊名 | Computers & mathematics with applications
 |
| 出版日期 | 2009-07-01 |
| 卷号 | 58期号:1页码:146-153 |
| 关键词 | Hirota bilinear method Hirota's transformations Soliton equation Tau-function Painleve truncation expansion |
| ISSN号 | 0898-1221 |
| DOI | 10.1016/j.camwa.2009.03.077 |
| 通讯作者 | Wang, deng-shan(wangdsh1980@yahoo.com.cn) |
| 英文摘要 | 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 |
| WOS关键词 | PARTIAL-DIFFERENTIAL-EQUATIONS ; DE-VRIES EQUATION ; BACKLUND-TRANSFORMATIONS ; 3-SOLITON CONDITION ; BILINEAR EQUATIONS ; TODA LATTICE ; SEARCH |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied |
| 语种 | 英语 |
| WOS记录号 | WOS:000267143100016 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2373715 |
| 专题 | 物理研究所 |
| 通讯作者 | Wang, Deng-Shan |
| 作者单位 | 1.Chinese Acad Sci, Inst Phys, Beijing Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R China 2.Cent Univ Finance & Econ, CEMA, Beijing 100081, Peoples R China 3.Cent Univ Finance & Econ, CIAS, Beijing 100081, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Deng-Shan. A systematic method to construct hirota's transformations of continuous soliton equations and its applications[J]. Computers & mathematics with applications,2009,58(1):146-153. |
| APA | Wang, Deng-Shan.(2009).A systematic method to construct hirota's transformations of continuous soliton equations and its applications.Computers & mathematics with applications,58(1),146-153. |
| MLA | Wang, Deng-Shan."A systematic method to construct hirota's transformations of continuous soliton equations and its applications".Computers & mathematics with applications 58.1(2009):146-153. |
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来源：物理研究所
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