A class of reductions of the two-component KP hierarchy and the Hirota-Ohta system

Autor:	Bogdanov, L. V., Xue, Lingling
Rok vydání:	2021
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematical Physics 37K10
Druh dokumentu:	Working Paper
DOI:	10.1134/S0040577922040031
Popis:	We introduce a class of reductions of the two-component KP hierarchy, which includes the Hirota-Ohta system hierarchy. The description of the reduced hierarchies is based on the Hirota bilinear identity and an extra bilinear relation characterising 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. Comment: 12 pages, several misprints in the formulae, especially in the Section 3, corrected. To be published in Theoretical and Mathematical Physics
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2112.12759 Zobrazit plný text záznamu View this record from Arxiv