학술논문

A class of reductions of the two-component KP hierarchy and the Hirota–Ohta system.
Document Type
Article
Source
Theoretical & Mathematical Physics. Apr2022, Vol. 211 Issue 1, p473-482. 10p.
Subject
*LINEAR operators
*KADOMTSEV-Petviashvili equation
*BILINEAR forms
Language
ISSN
0040-5779
Abstract
We introduce a class of reductions of the two-component KP hierarchy that includes the Hirota–Ohta system hierarchy. The description of the reduced hierarchies is based on the Hirota bilinear identity and an extra bilinear relation characterizing the reduction. We derive the reduction conditions in terms of the Lax operator and higher linear operators of the hierarchy, as well as in terms of the basic two-component KP system of equations. [ABSTRACT FROM AUTHOR]