A NEW SOLITON HIERARCHY AND ITS TWO KINDS OF EXPANDING INTEGRABLE MODEL HAMILTONIAN STRUCTURE
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
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| Pages (from-to) | 3059-3072 |
| Number of pages | 14 |
| Journal / Publication | International Journal of Modern Physics B |
| Volume | 23 |
| Issue number | 14 |
| Publication status | Published - 1 Jun 2009 |
Link(s)
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(3e3109e7-2782-4c06-970d-c7722da13d08).html |
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Abstract
With the help of two different Lie algebras and the corresponding loop algebras, the first and second kind of expanding integrable models of a new soliton hierarchy of evolution equations are obtained, respectively. The Hamiltonian structure of the first one is worked out by the quadratic-form identity. The bi-Hamiltonian structure of the second one is also generated. From the paper, we conclude that various Lie algebras really produce different soliton hierarchies of evolution equations. The approach presented in the paper provides a way for generating different integrable soliton expanding systems of the known soliton hierarchy of equations.
Research Area(s)
- Soliton hierarchy, Lie algebra, Hamiltonian structure, SEMIDIRECT SUMS, LIE-ALGEBRAS, EQUATIONS, COUPLINGS, IDENTITY, SYSTEMS
Citation Format(s)
In: International Journal of Modern Physics B, Vol. 23, No. 14, 01.06.2009, p. 3059-3072.
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
