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. |
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@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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