A class of reductions of the two-component KP hierarchy and the Hirota-Ohta system
Exactly Solvable and Integrable Systems
2022-05-11 v3 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.2112.12759,
title = {A class of reductions of the two-component KP hierarchy and the Hirota-Ohta system},
author = {L. V. Bogdanov and Lingling Xue},
journal= {arXiv preprint arXiv:2112.12759},
year = {2022}
}
Comments
12 pages, several misprints in the formulae, especially in the Section 3, corrected. To be published in Theoretical and Mathematical Physics