Symmetries and conservation laws for a generalization of
Kawahara equation

J 2020

Symmetries and conservation laws for a generalization of Kawahara equation

VAŠÍČEK, Jakub

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

Language

English

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

References:

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

Abstract

V originále

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.

Citovat

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.

@article{49386,
   author = {Vašíček, Jakub},
   article_location = {Amsterdam},
   article_number = {103579},
   doi = {http://dx.doi.org/10.1016/j.geomphys.2019.103579},
   keywords = {Symmetries; Conservation laws; Hamiltonian structures; Integrability; Formal symmetries},
   language = {eng},
   issn = {0393-0440},
   journal = {Journal of Geometry and Physics},
   title = {Symmetries and conservation laws for a generalization of Kawahara equation},
   url = {https://www.sciencedirect.com/science/article/pii/S039304401930258X?via%3Dihub},
   volume = {150},
   year = {2020}
}

TY  - JOUR
ID  - 49386
AU  - Vašíček, Jakub
PY  - 2020
TI  - Symmetries and conservation laws for a generalization of Kawahara equation
JF  - Journal of Geometry and Physics
VL  - 150
IS  - 103579
SP  - "103579-1"-"103579-6"
EP  - "103579-1"-"103579-6"
PB  - Elsevier B.V.
SN  - 03930440
KW  - Symmetries
KW  - Conservation laws
KW  - Hamiltonian structures
KW  - Integrability
KW  - Formal symmetries
UR  - https://www.sciencedirect.com/science/article/pii/S039304401930258X?via%3Dihub
N2  - 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.
ER  -

VAŠÍČEK, Jakub. Symmetries and conservation laws for a generalization of Kawahara equation. \textit{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.

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