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Tau-Function of the Multi-component CKP Hierarchy.

Authors :
Zabrodin, A.
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