Kac-Moody-Virasoro Symmetries and Related Conservation Laws
- Department of Physics, Shanghai Jiao Tong University, Shanghai 200240 (China) and Center of Nonlinear Science and Department of Physics, Ningbo University, Ningbo 315211 (China)
- Department of Physics, Shanghai Jiao Tong University, Shanghai 200240 (China)
In this report, some important facts on the symmetries and conservation laws of high dimensional integrable systems are discussed. It is summarized that almost all the known (2+1)-dimensional integrable models possess the Kac-Moody-Virasoro (KMV) symmetry algebras. One knows that infinitely many partial differential equations may possess a same KMV symmetry algebra. It is found that the KMV symmetry groups can be explicitly obtained by using some direct methods. For some quite general variable coefficient nonlinear systems, their sufficient and necessary condition for the existence of the KMV symmetry algebra is they can be changed to the related known constant coefficient models. Finally, it is found that every one symmetry may be related to infinitely many conservation laws and then infinitely many models may possess a same set of infinitely many conservation laws.
- OSTI ID:
- 21371048
- Journal Information:
- AIP Conference Proceedings, Vol. 1212, Issue 1; Conference: 1. international workshop on nonlinear and modern mathematical physics, Beijing (China), 15-21 Jul 2009; Other Information: DOI: 10.1063/1.3367027; (c) 2010 American Institute of Physics; ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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