New exact solutions to the (2+1)-dimensional ito equation: extended homoclinic test technique
文献类型：期刊论文
| 作者 | Li, Dong-Long2; Zhao, Jun-Xiao1,3 |
| 刊名 | Applied mathematics and computation
 |
| 出版日期 | 2009-11-01 |
| 卷号 | 215期号:5页码:1968-1974 |
| 关键词 | The (2+1)-dimensional ito equation Hirota bilinear method Extended homoclinic test Solitary wave Periodic wave Periodic solitary wave |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2009.07.058 |
| 通讯作者 | Zhao, jun-xiao(jxzhao@gucas.ac.cn) |
| 英文摘要 | Exact soliton solutions to the (2 + 1)-dimensional ito equation are studied based on the idea of extended homoclinic test and bilinear method. some explicit solutions, such as triangle function solutions, soliton solutions, doubly-periodic wave solutions and periodic solitary wave solutions, are obtained. it shows that the (2 + 1)-dimensional ito equation has richer solutions. besides, the elastic interactions of the solutions and their corresponding physical meaning are discussed. (c) 2009 elsevier inc. all rights reserved. |
| WOS关键词 | SHALLOW-WATER WAVES ; N-SOLITON SOLUTIONS ; NONLINEAR EVOLUTION |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied |
| 语种 | 英语 |
| WOS记录号 | WOS:000270873300029 |
| 出版者 | ELSEVIER SCIENCE INC |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2404063 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Zhao, Jun-Xiao |
| 作者单位 | 1.Inst Appl Phys & Computat Math, Beijing 100000, Peoples R China 2.Guangxi Univ Technol, Liuzhou 545006, Peoples R China 3.Chinese Acad Sci, Grad Univ, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Dong-Long,Zhao, Jun-Xiao. New exact solutions to the (2+1)-dimensional ito equation: extended homoclinic test technique[J]. Applied mathematics and computation,2009,215(5):1968-1974. |
| APA | Li, Dong-Long,&Zhao, Jun-Xiao.(2009).New exact solutions to the (2+1)-dimensional ito equation: extended homoclinic test technique.Applied mathematics and computation,215(5),1968-1974. |
| MLA | Li, Dong-Long,et al."New exact solutions to the (2+1)-dimensional ito equation: extended homoclinic test technique".Applied mathematics and computation 215.5(2009):1968-1974. |
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来源：中国科学院大学
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