Symmetries and conservation laws for a generalization of Kawahara equation
| Autor: | Jakub Vašíček |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Conservation law
Nonlinear Sciences - Exactly Solvable and Integrable Systems Integrable system Generalization 010102 general mathematics General Physics and Astronomy 01 natural sciences Symmetry (physics) Hamiltonian structure 0103 physical sciences Homogeneous space 010307 mathematical physics Geometry and Topology Linear independence 0101 mathematics Nonlinear evolution Mathematical Physics Mathematical physics Mathematics |
| Zdroj: | Journal of Geometry and Physics. 150:103579 |
| ISSN: | 0393-0440 |
| Popis: | We provide a complete classification of generalized and formal symmetries and local conservation laws for an evolution equation which generalizes the Kawahara equation having important applications in the study of plasma waves and capillary-gravity water waves. In particular, we show that the equation under study admits no genuinely generalized symmetries and has only finitely many local conservation laws, and thus this equation is not symmetry integrable. Comment: 8 pages, no figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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