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A Block Matrix Loop Algebra and Bi-Integrable Couplings of the Dirac Equations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ma, Wen-Xiu Zhang, Huiqun Meng, Jinghan |
| Copyright Year | 2013 |
| Abstract | A non-semisimple matrix loop algebra is presented, and a class of zero curvature equations over this loop algebra is used to generate bi-integrable couplings. An illustrative example is made for the Dirac soliton hierarchy. Associated variational identities yield bi-Hamiltonian structures of the resulting bi-integrable couplings, such that the hierarchy of bi-integrable couplings possesses infinitely many commuting symmetries and conserved functionals. AMS subject classifications: 37K05, 37K10, 35Q53. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://shell.cas.usf.edu/~wma3/MaZM-EAJAM2013.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Calculus of variations Classification Dirac delta function Hamiltonian (quantum mechanics) Sense of identity (observable entity) Soliton VHDL-AMS |
| Content Type | Text |
| Resource Type | Article |
