Conditional similarity reductions of the (2+1)-dimensional KdV equation via the extended Lie group approach
文献类型：期刊论文
| 作者 | Tang, XY; Qian, XM; Lin, J; Lou, SY |
| 刊名 | JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
 |
| 出版日期 | 2004-06-01 |
| 卷号 | 73期号:6页码:1464-1475 |
| 关键词 | (2+1)-dimensional KdV equation conditional symmetry conditional similarity reduction the extended Lie group approach |
| ISSN号 | 0031-9015 |
| DOI | 10.1143/JPSJ.73.1464 |
| 英文摘要 | The classical and nonclassical Lie group approaches are extended and applied to construct new conditional similarity reductions for nonlinear systems. The application of the method to a simple (2 + 1)-dimensional KdV equation results in not only the known conditional similarity reductions obtained by the modified Clarkson and Kruskal's direct method but also a great diversity of classical and nonclassical conditional similarity reductions. |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000222268400014 |
| 出版者 | PHYSICAL SOC JAPAN |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19247]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Tang, XY |
| 作者单位 | 1.Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, State Key Lab Sci & Engn Comp, Inst Comp Math & Sci Engn Comp, Beijing 100080, Peoples R China 3.Shaoxing Coll Arts & Sci, Dept Phys, Shaoxing 312000, Peoples R China 4.Zhejiang Normal Univ, Dept Phys, Jinhua 321004, Peoples R China 5.Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia |
| 推荐引用方式 GB/T 7714 | Tang, XY,Qian, XM,Lin, J,et al. Conditional similarity reductions of the (2+1)-dimensional KdV equation via the extended Lie group approach[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,2004,73(6):1464-1475. |
| APA | Tang, XY,Qian, XM,Lin, J,&Lou, SY.(2004).Conditional similarity reductions of the (2+1)-dimensional KdV equation via the extended Lie group approach.JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,73(6),1464-1475. |
| MLA | Tang, XY,et al."Conditional similarity reductions of the (2+1)-dimensional KdV equation via the extended Lie group approach".JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 73.6(2004):1464-1475. |
入库方式： OAI收割
来源：数学与系统科学研究院
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