Published April 2005
| Version v1
Journal article
The multicomponent generalized Kaup-Newell hierarchy and its multicomponent integrable couplings system with two arbitrary functions
Creators
- 1. Institute of Mathematics, Fudan University, Shanghai 200433 (China)
- 2. Department of Mathematics, Tianjin University, Tianjin 300072 (China) and Department of Mathematics, Bohai University, Jinzhou 121000 (China) and Department of Mathematics, Shanghai University, Shanghai 200436 (CN)
Description
We devise a new simple loop algebra G-tildeM and an isospectral problem. By making use of the Tu scheme, the multicomponent generalized Kaup-Newell hierarchy is obtained. Furthermore, an expanding loop algebra F-tildeM of the loop algebra G-tildeM is presented. Based on F-tildeM, the multicomponent integrable couplings system with two arbitrary functions of the multicomponent generalized Kaup-Newell hierarchy are worked out. The method can be applied to other nonlinear evolution equations hierarchy
Additional details
Identifiers
- DOI
- 10.1063/1.1866220;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 46
- Journal Issue
- 4
- Journal Page Range
- p. 043510-043510.8
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36052573
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; FUNCTIONAL ANALYSIS; FUNCTIONS; INTEGRAL CALCULUS; MATHEMATICAL EVOLUTION; NONLINEAR PROBLEMS; WAVE EQUATIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; EVOLUTION; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS
Optional Information
- Notes
- (c) 2005 American Institute of Physics