J
2022
Recursion Operators for Multidimensional Integrable PDEs
SERGYEYEV, Artur
Basic information
Original name
Recursion Operators for Multidimensional Integrable PDEs
Edition
Acta Applicandae Mathematicae, Dordrecht, Springer, 2022, 0167-8019
Other information
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
RIV identification code
RIV/47813059:19610/22:A0000107
Organization unit
Mathematical Institute in Opava
Keywords in English
Recursion operators; Lax pairs; Integrable systems; Symmetries
Tags
International impact, Reviewed
Links
GBP201/12/G028, research and development project.
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.
Displayed: 24/12/2024 04:02