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Tau-function of the multi-component CKP hierarchy

A. Zabrodin

Abstract

We prove existence of the tau-function for the multi-component CKP hierarchy and find how it is related to the tau-function of the multi-component KP hierarchy.

Tau-function of the multi-component CKP hierarchy

Abstract

We prove existence of the tau-function for the multi-component CKP hierarchy and find how it is related to the tau-function of the multi-component KP hierarchy.
Paper Structure (8 sections, 109 equations)

This paper contains 8 sections, 109 equations.

Table of Contents

  1. Introduction
  2. The multi-component KP hierarchy
  3. Lax-Sato formalism for the multi-component KP hierarchy
  4. The tau-function
  5. The multi-component CKP hierarchy
  6. The Lax-Sato formalism
  7. Existence of the tau-function $\tau^{\hbox{\tiny CKP}}$
  8. Concluding remarks