J 2022

Recursion Operators for Multidimensional Integrable PDEs

SERGYEYEV, Artur

Basic information

Original name

Recursion Operators for Multidimensional Integrable PDEs

Authors

SERGYEYEV, Artur (804 Ukraine, guarantor, belonging to the institution)

Edition

Acta Applicandae Mathematicae, Dordrecht, Springer, 2022, 0167-8019

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10101 Pure mathematics

Country of publisher

Netherlands

Confidentiality degree

is not subject to a state or trade secret

References:

Impact factor

Impact factor: 1.600

RIV identification code

RIV/47813059:19610/22:A0000107

Organization unit

Mathematical Institute in Opava

DOI

UT WoS

000855772800001

Keywords in English

Recursion operators; Lax pairs; Integrable systems; Symmetries

Tags

Tags

International impact, Reviewed

Links

GBP201/12/G028, research and development project.
Changed: 4/3/2023 12:17, Mgr. Aleš Ryšavý

Abstract

V originále

We present a novel construction of recursion operators for integrable second-order multidimensional PDEs admitting isospectral scalar Lax pairs with Lax operators being first-order scalar differential operators linear in the spectral parameter. Our approach, illustrated by several examples and applicable to many other PDEs of the kind in question, employs an ansatz for the sought-for recursion operator of the equation under study based on the Lax pair for the latter.