Hamiltonian forms of the two new integrable systems and two kinds of Darboux transformations
| Autor: | Liangyun Chen, Baiying He |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Pure mathematics
Loop algebra Applied Mathematics Adjoint representation Current algebra Darboux integral Lie conformal algebra Graded Lie algebra Filtered algebra Algebra Computational Mathematics Nonlinear Sciences::Exactly Solvable and Integrable Systems Superintegrable Hamiltonian system Mathematics |
| Zdroj: | Applied Mathematics and Computation. 244:261-273 |
| ISSN: | 0096-3003 |
| DOI: | 10.1016/j.amc.2014.07.006 |
| Popis: | Based on the Lie algebra gl ( 2 ) , taking a kind of corresponding loop algebra gl ( 2 ) ∼ , a new Lax integrable hierarchy can be obtained. Then, by means of the quadratic-form identity, the corresponding bi-Hamiltonian structure was worked out. Expanding Lie algebra gl ( 2 ) , and making use of the new zero curvature equation Zhang (2008) [9], we obtain an integrable hierarchy and its Hamiltonian structure. At last, two kinds of Darboux transformations of the equation are generated. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect