arXiv subjects

I. A. Il'in

Publications and source records attributed to I. A. Il'in.

2 recordsLinked to original sources

arXiv2016

On classification of higher-order integrable nonlinear partial differential equations

We investigate existence of solitonic solutions for higher-order partial differential equations with polynomial nonlinearities. Using the Hirota method we obtain classification for higher-order integrable systems of equations.

nlin.SI↗

arXiv2016

Multilinear Hirota operators and integrability

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.

nlin.SI↗