| Lie Algebras for Constructing Nonlinear Integrable and Bi-Integrable Hamiltonian Couplings |
| Received:March 24, 2014 Revised:January 16, 2015 |
| Key Words:
Lie algebra integrable couplings bi-integrable couplings Hamiltonian structure
|
| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.61273011; 11401392). |
| Author Name | Affiliation | | Xiaohong CHEN | Department of Mathematics, Dalian University of Technology, Liaoning 116024, P. R. China
School of Science, University of Science and Technology Liaoning, Liaoning 114051, P. R. China | | Hongqing ZHANG | Department of Mathematics, Dalian University of Technology, Liaoning 116024, P. R. China | | Fucai YOU | Department of Basic Sciences, Shenyang Institute of Engineering, Liaoning 110136, P. R. China | | Daqing ZHANG | School of Science, University of Science and Technology Liaoning, Liaoning 114051, P. R. China |
|
| Hits: 3009 |
| Download times: 2224 |
| Abstract: |
| With the help of a Lie algebra, two kinds of Lie algebras with the forms of blocks are introduced for generating nonlinear integrable and bi-integrable couplings. For illustrating the application of the Lie algebras, an integrable Hamiltonian system is obtained, from which some reduced evolution equations are presented. Finally, Hamiltonian structures of nonlinear integrable and bi-integrable couplings of the integrable Hamiltonian system are furnished by applying the variational identity. The approach presented in the paper can also provide nonlinear integrable and bi-integrable couplings of other integrable system. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2015.03.007 |
| View Full Text View/Add Comment |
|
|
|
