J 2024

Conservation laws and nonexistence of local Hamiltonian structures for generalized Infeld-Rowlands equation

VAŠÍČEK, Jakub

Basic information

Original name

Conservation laws and nonexistence of local Hamiltonian structures for generalized Infeld-Rowlands equation

Authors

VAŠÍČEK, Jakub

Edition

Reports on Mathematical Physics, Oxford (GB), Elsevier Ltd. 2024, 0034-4877

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

United Kingdom of Great Britain and Northern Ireland

Confidentiality degree

není předmětem státního či obchodního tajemství

Impact factor

Impact factor: 0.800 in 2022

Organization unit

Mathematical Institute in Opava

UT WoS

001261842100001

Keywords in English

conservation laws; generalized Infeld-Rowlands equation; Hamiltonian structure

Tags

International impact, Reviewed
Změněno: 30/1/2025 12:14, Mgr. Aleš Ryšavý

Abstract

V originále

For a certain natural generalization of the Infeld-Rowlands equation we prove nonexistence of nontrivial local Hamiltonian structures and nontrivial local symplectic structures of any order, as well as of nontrivial local Noether and nontrivial local inverse Noether operators of any order, and exhaustively characterize all cases when the equation in question admits nontrivial local conservation laws of any order; the method of establishing the above nonexistence results can be readily applied to many other PDEs.