Matrix Modified Kadomtsev-Petviashvili Hierarchy
| Autor: | Anton Zabrodin |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
Hierarchy Bilinear interpolation Statistical and Nonlinear Physics symbols.namesake Formalism (philosophy of mathematics) Nonlinear Sciences::Exactly Solvable and Integrable Systems Group element symbols Ramanujan tau function Mathematical Physics Linear equation Mathematics Vacuum expectation value |
| Zdroj: | Theoretical and Mathematical Physics. 199:771-783 |
| ISSN: | 1573-9333 0040-5779 |
| Popis: | Using the bilinear formalism, we consider multicomponent and matrix Kadomtsev-Petviashvili hierarchies. The main tool is the bilinear identity for the tau function realized as the vacuum expectation value of a Clifford group element composed of multicomponent fermionic operators. We also construct the Baker-Akhiezer functions and obtain auxiliary linear equations that they satisfy. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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