Higher dimensional integrable models from lower ones via Miura type deformation relation
文献类型：期刊论文
| 作者 | Lou, SY; Yu, J; Tang, XY |
| 刊名 | ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
 |
| 出版日期 | 2000-11-01 |
| 卷号 | 55页码:867-876 |
| 关键词 | noninvertible deformation high dimensional integrable models camber solitons ring solitons |
| ISSN号 | 0932-0784 |
| 英文摘要 | To find nontrivial high dimensional integrable models (especially in (3+1)-dimensions) is one of the most important problems in nonlinear physics. A systematic method to find some nontrivial high dimensional integrable models is established by means of noninvertible deformation relations. Starting from a noninvertible Miura type transformation, we find that the (1+1)-dimensional sinh-Gordon model appearing in many physical fields is a deformation of the (0+1)-dimensional Riccati equation. A high dimensional Miura type deformation (including two different (3+1)-dimensional reductions) of the heat conduction equation is proved to be Painleve integrable. Some special types of explicit exact solutions, like multi-plane and/or multi-camber soliton solutions, multi-dromion solutions and multiple ring soliton solutions, are obtained. |
| WOS关键词 | CONFORMAL FIELD-THEORY ; KDV-TYPE EQUATION ; PAINLEVE PROPERTY ; SINGULARITY ANALYSIS ; COHERENT STRUCTURES ; SYMMETRY ALGEBRA ; SOLITON ; TRANSFORMATIONS ; PLASMA ; PHI-4 |
| WOS研究方向 | Chemistry ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000166834700005 |
| 出版者 | VERLAG Z NATURFORSCH |
| 源URL | [http://119.78.100.186/handle/113462/36480]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Lou, SY |
| 作者单位 | 1.Shanghai Jiao Tong Univ, Dept Appl Phys, Shanghai 200030, Peoples R China 2.Ningbo Univ, Inst Modern Phys, Ningbo 315211, Peoples R China 3.Shaoxing Coll Arts & Sci, Dept Phys, Shaoxing 312000, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lou, SY,Yu, J,Tang, XY. Higher dimensional integrable models from lower ones via Miura type deformation relation[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,2000,55:867-876. |
| APA | Lou, SY,Yu, J,&Tang, XY.(2000).Higher dimensional integrable models from lower ones via Miura type deformation relation.ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,55,867-876. |
| MLA | Lou, SY,et al."Higher dimensional integrable models from lower ones via Miura type deformation relation".ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES 55(2000):867-876. |
入库方式： OAI收割
来源：近代物理研究所
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