output
20022025
most citedRunup of nonlinear deformed waves on a beach

47 citations

29 papers

hep-th2025

Tau functions of the UC hierarchy as partition functions of matrix models

Chuanzhong Li, Andrei Mironov, Alexander Yu. Orlov

We present a family of matrix models such that their partition functions are tau functions of the universal character (UC) hierarchy. This develops one of the topics of our previou…

hep-th2024★ 21 cited

Hopf link invariants and integrable hierarchies

Chuanzhong Li, A. Mironov, A. Yu. Orlov

The goal of this note is to study integrable properties of a generating function of the HOMFLY-PT invariants of the Hopf link colored with different representations. We demonstrate…

nlin.SI2024

Bilinear Expansions of KP Multipair Correlators in BKP Correlators

Aleksandr Yu. Orlov

I present a generalization of our joint works with John Harnad (2021) that relates Schur functions, KP tau functions and KP correlation functions to Schur's -functions, BKP tau…

nlin.SI2023

Sigma model instantons and singular tau function

E. N. Antonov, A. Yu. Orlov

The generating series for the instanton contribution to Green functions of the sigma model was found in the works of Schwarz, Fateev and Frolov. We show that this series can b…

nlin.SI2022★ 9 cited

Bound-state soliton gas as a limit of adiabatically growing integrable turbulence

D. S. Agafontsev, A. A. Gelash, R. I. Mullyadzhanov +1

We study numerically the integrable turbulence in the framework of the one-dimensional nonlinear Schrodinger equation (1D-NLSE) of the focusing type using a new approach called the…

physics.flu-dyn2022★ 6 cited

Effects of finite non-gaussianity on evolution of a random wind wave field

S. Y. Annenkov, V. I. Shrira

We examine long-term evolution of a random wind wave field generated by constant forcing, by comparing numerical simulations of the kinetic equation and direct numerical simulation…