Multilinear Hirota operators and integrability
Exactly Solvable and Integrable Systems
2016-11-24 v1
Abstract
We consider multilinear generalization of the Hirota derivative, which serves as a building block for integrable solitonic hierarchies. 2 special integrable mutlilinear equations are shown to be splittable into pairs of bilinear operators, parametrized by the additional variable. This fact is a signature of a higher (B)KP reductions.
Cite
@article{arxiv.1611.07699,
title = {Multilinear Hirota operators and integrability},
author = {I. A. Il'in and D. S. Noshchenko and A. S. Perezhogin},
journal= {arXiv preprint arXiv:1611.07699},
year = {2016}
}