On parametric generalizations of the Kardar-Parisi-Zhang equation and their integrability

Anatolij K. Prykarpatski; Victor A. Bovdi; Myroslava I. Vovk; Petro Ya Pukach

doi:10.1088/1742-6596/2667/1/012043

On parametric generalizations of the Kardar-Parisi-Zhang equation and their integrability

Anatolij K. Prykarpatski
, Victor A. Bovdi
, Myroslava I. Vovk
, Petro Ya Pukach

Department of Mathematical Sciences

Research output: Contribution to journal › Conference article › peer-review

Abstract

There are analyzed two physically reasonable generalizations of the Kardar-Parisi-Zhang equation describing the spin glasses growth models and possessing important from physical point of view properties. The first one proved to be a completely integrable Hamiltonian dynamical system with an infinite hierarchy of commuting to each other conservation laws, and the second one proved to be linearized modulo some nonlinear constraints, imposed on its solutions.

Original language	English
Article number	012043
Journal	Journal of Physics: Conference Series
Volume	2667
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/2667/1/012043
Publication status	Published - 2023
Event	12th International Symposium on Quantum Theory and Symmetries, QTS 2023 - Prague, Czech Republic Duration: Jul 24 2023 → Jul 28 2023

ASJC Scopus subject areas

General Physics and Astronomy

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10.1088/1742-6596/2667/1/012043

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title = "On parametric generalizations of the Kardar-Parisi-Zhang equation and their integrability",

abstract = "There are analyzed two physically reasonable generalizations of the Kardar-Parisi-Zhang equation describing the spin glasses growth models and possessing important from physical point of view properties. The first one proved to be a completely integrable Hamiltonian dynamical system with an infinite hierarchy of commuting to each other conservation laws, and the second one proved to be linearized modulo some nonlinear constraints, imposed on its solutions.",

author = "Prykarpatski, \{Anatolij K.\} and Bovdi, \{Victor A.\} and Vovk, \{Myroslava I.\} and Pukach, \{Petro Ya\}",

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AU - Prykarpatski, Anatolij K.

AU - Bovdi, Victor A.

AU - Vovk, Myroslava I.

AU - Pukach, Petro Ya

N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd.

PY - 2023

Y1 - 2023

N2 - There are analyzed two physically reasonable generalizations of the Kardar-Parisi-Zhang equation describing the spin glasses growth models and possessing important from physical point of view properties. The first one proved to be a completely integrable Hamiltonian dynamical system with an infinite hierarchy of commuting to each other conservation laws, and the second one proved to be linearized modulo some nonlinear constraints, imposed on its solutions.

AB - There are analyzed two physically reasonable generalizations of the Kardar-Parisi-Zhang equation describing the spin glasses growth models and possessing important from physical point of view properties. The first one proved to be a completely integrable Hamiltonian dynamical system with an infinite hierarchy of commuting to each other conservation laws, and the second one proved to be linearized modulo some nonlinear constraints, imposed on its solutions.

UR - https://www.scopus.com/pages/publications/85181048017

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U2 - 10.1088/1742-6596/2667/1/012043

DO - 10.1088/1742-6596/2667/1/012043

M3 - Conference article

AN - SCOPUS:85181048017

SN - 1742-6588

VL - 2667

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012043

T2 - 12th International Symposium on Quantum Theory and Symmetries, QTS 2023

Y2 - 24 July 2023 through 28 July 2023

ER -

On parametric generalizations of the Kardar-Parisi-Zhang equation and their integrability

Abstract

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