J 2021

Infinitely many commuting nonlocal symmetries for modified Martínez Alonso-Shabat equation

BARAN, Hynek

Basic information

Original name

Infinitely many commuting nonlocal symmetries for modified Martínez Alonso-Shabat equation

Authors

BARAN, Hynek (203 Czech Republic, guarantor, belonging to the institution)

Edition

Communications in Nonlinear Science and Numerical Simulation, Amsterdam, Elsevier B.V. 2021, 1007-5704

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Netherlands

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Communications in Nonlinear Science and Numerical Simulation

RIV identification code

RIV/47813059:19610/21:A0000093

Organization unit

Mathematical Institute in Opava

DOI

http://dx.doi.org/10.1016/j.cnsns.2021.105692

UT WoS

000626636200003

Keywords in English

Integrable systems; Nonlocal symmetries; Recursion operators

Tags

IGS-11-2019,

Tags

International impact, Reviewed
Změněno: 29/3/2022 15:46, Mgr. Aleš Ryšavý

Abstract

V originále

We study the modified Martinez Alonso-Shabat equation u(y)u(xz) + alpha u(x)u(ty) - (u(z) + alpha u(t))u(xy) = 0 and present its recursion operator and an infinite commuting hierarchy of full-fledged non-local symmetries. To date such hierarchies were found only for very few integrable systems in more than three independent variables.
Displayed: 26/12/2024 12:46