Symmetries and conservation laws for a generalization of Kawahara equation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F20%3AA0000084" target="_blank" >RIV/47813059:19610/20:A0000084 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S039304401930258X?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S039304401930258X?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.geomphys.2019.103579" target="_blank" >10.1016/j.geomphys.2019.103579</a>

Result language
angličtina
Original language name
Symmetries and conservation laws for a generalization of Kawahara equation
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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