3 papers
hep-th2025
Knot-quiver correspondence: a brief review
Piotr Kucharski, Dmitry Noshchenko
This note is an overview of the knot-quiver correspondence, which relates symmetric quivers and their partition functions, a.k.a. motivic Donaldson-Thomas generating series, to qua…
nlin.SI2016
On classification of higher-order integrable nonlinear partial differential equations
I. A. Il'in, D. S. Noshchenko, A. S. Perezhogin
We investigate existence of solitonic solutions for higher-order partial differential equations with polynomial nonlinearities. Using the Hirota method we obtain classification for…
nlin.SI2016
Multilinear Hirota operators and integrability
I. A. Il'in, D. S. Noshchenko, A. S. Perezhogin
We consider multilinear generalization of the Hirota derivative, which serves as a building block for integrable solitonic hierarchies. 2 special integrable mutlilinear equations a…