Symmetries and similarity reductions of the dym equation
文献类型：期刊论文
| 作者 | Lou, SY; Lou, SY , NINGBO NORMAL COLL,INST MODERN PHYS,NINGBO 315211,PEOPLES R CHINA. |
| 刊名 | PHYSICA SCRIPTA
 |
| 出版日期 | 1996 |
| 卷号 | 54期号:5页码:428-435 |
| 关键词 | Partial-differential Equations Dym Korteweg-devries Hierarchy Harry Linear Evolution-equations Sawada-kotera Equation Recursion Operator Painleve Property Discrete Eigenfunctions Singularity Analysis Kdv Equation |
| ISSN号 | 0281-1847 |
| 英文摘要 | The eigenfunctions of the recursion operator Phi with eigenvalue lambda(i), and the inverse of the recursion operator Phi(i) = Phi - lambda(i) for the Dym equation (DE) are obtained by means of the pseudopotentials or the isospectral functions of the isospectral problem. The symmetries and algebras of the DE are also given. Using some symmetry subalgebra of the DE, thirteen types of the significant similarity reductions are obtained by virtue of the classical Lie approach. For six types of reductions, the general solutions can be obtained by means of the Weierstrass elliptic function, Riemann's zeta function, Jacobi elliptic functions and the solutions of a Riccati equation implicitly. Three types of reductions can all be solved by means of the Painleve II equation but with different independent arguments. Some types of nontravelling singular solitary waves exist for the Dym equation there are two types of nonsingular nontravelling solitary wave solutions for some suitable potentials. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| 公开日期 | 2012-08-29 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/12562]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 通讯作者 | Lou, SY , NINGBO NORMAL COLL,INST MODERN PHYS,NINGBO 315211,PEOPLES R CHINA. |
| 推荐引用方式 GB/T 7714 | Lou, SY,Lou, SY , NINGBO NORMAL COLL,INST MODERN PHYS,NINGBO 315211,PEOPLES R CHINA.. Symmetries and similarity reductions of the dym equation[J]. PHYSICA SCRIPTA,1996,54(5):428-435. |
| APA | Lou, SY,&Lou, SY , NINGBO NORMAL COLL,INST MODERN PHYS,NINGBO 315211,PEOPLES R CHINA..(1996).Symmetries and similarity reductions of the dym equation.PHYSICA SCRIPTA,54(5),428-435. |
| MLA | Lou, SY,et al."Symmetries and similarity reductions of the dym equation".PHYSICA SCRIPTA 54.5(1996):428-435. |
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来源：理论物理研究所
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