Symmetries and conservation laws for a generalization of
Kawahara equation

J 2020

Symmetries and conservation laws for a generalization of Kawahara equation

VAŠÍČEK, Jakub

Základní údaje

Originální název

Symmetries and conservation laws for a generalization of Kawahara equation

Autoři

VAŠÍČEK, Jakub (203 Česká republika, garant, domácí)

Vydání

Journal of Geometry and Physics, Amsterdam, Elsevier B.V. 2020, 0393-0440

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Nizozemské království

Utajení

není předmětem státního či obchodního tajemství

Odkazy

Journal of Geometry and Physics

Kód RIV

RIV/47813059:19610/20:A0000084

Organizační jednotka

Matematický ústav v Opavě

DOI

http://dx.doi.org/10.1016/j.geomphys.2019.103579

UT WoS

000528194600001

Klíčová slova anglicky

Symmetries; Conservation laws; Hamiltonian structures; Integrability; Formal symmetries

Štítky

MÚ, SGS-6-2017

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 6. 4. 2021 13:55, Mgr. Aleš Ryšavý

Anotace

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, roč. 150, č. 103579, s. "103579-1"-"103579-6", 6 s. ISSN 0393-0440. Dostupné z: 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, roč.~150, č.~103579, s.~''103579-1''-''103579-6'', 6 s. ISSN~0393-0440. Dostupné z: https://dx.doi.org/10.1016/j.geomphys.2019.103579.

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