2020
Symmetries and conservation laws for a generalization of Kawahara equation
VAŠÍČEK, JakubBasic information
Original name
Symmetries and conservation laws for a generalization of Kawahara equation
Authors
VAŠÍČEK, Jakub (203 Czech Republic, guarantor, belonging to the institution)
Edition
Journal of Geometry and Physics, Amsterdam, Elsevier B.V. 2020, 0393-0440
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: 1.249
RIV identification code
RIV/47813059:19610/20:A0000084
Organization unit
Mathematical Institute in Opava
UT WoS
000528194600001
EID Scopus
2-s2.0-85078257776
Keywords in English
Symmetries; Conservation laws; Hamiltonian structures; Integrability; Formal symmetries
Tags
Tags
International impact, Reviewed
Changed: 6/4/2021 13:55, Mgr. Aleš Ryšavý
Abstract
In the original language
We give a complete description of generalized and formal symmetries for a nonlinear evolution equation which generalizes the Kawahara equation having important applications in the study of plasma waves and capillary-gravity water waves. Using these results and the presence of Hamiltonian structure we also give a complete description of local conservation laws for the equation under study. In particular, we show that the equation in question admits no genuinely generalized symmetries and has only finitely many nontrivial linearly independent local conservation laws, and thus this equation is not symmetry integrable.