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Tau-Function of the Multi-component CKP Hierarchy.
- Source :
- Mathematical Physics, Analysis & Geometry; Mar2024, Vol. 27 Issue 1, p1-18, 18p
- Publication Year :
- 2024
-
Abstract
- We consider multi-component Kadomtsev-Petviashvili hierarchy of type C (the multi-component CKP hierarchy) originally defined with the help of matrix pseudo-differential operators via the Lax-Sato formalism. Starting from the bilinear relation for the wave functions, we prove existence of the tau-function for the multi-component CKP hierarchy and provide a formula which expresses the wave functions through the tau-function. We also find how this tau-function is related to the tau-function of the multi-component Kadomtsev-Petviashvili hierarchy. The tau-function of the multi-component CKP hierarchy satisfies an integral relation which, unlike the integral relation for the latter tau-function, is no longer bilinear but has a more complicated form. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13850172
- Volume :
- 27
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Mathematical Physics, Analysis & Geometry
- Publication Type :
- Academic Journal
- Accession number :
- 175530703
- Full Text :
- https://doi.org/10.1007/s11040-023-09473-6