VAŠÍČEK, Jakub. Symmetries and conservation laws for a generalization of Kawahara equation. Journal of Geometry and Physics. Amsterdam: Elsevier B.V., 2020, vol. 150, No 103579, p. "103579-1"-"103579-6", 6 pp. ISSN 0393-0440. Available from: https://dx.doi.org/10.1016/j.geomphys.2019.103579.
Other formats:   BibTeX LaTeX RIS
Basic 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
Original 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
WWW Journal of Geometry and Physics
RIV identification code RIV/47813059:19610/20:A0000084
Organization unit Mathematical Institute in Opava
Doi http://dx.doi.org/10.1016/j.geomphys.2019.103579
UT WoS 000528194600001
Keywords in English Symmetries; Conservation laws; Hamiltonian structures; Integrability; Formal symmetries
Tags MÚ, SGS-6-2017
Tags International impact, Reviewed
Changed by Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 6/4/2021 13:55.
Abstract
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.
PrintDisplayed: 8/5/2024 20:52