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Symmetries and conservation laws for a generalization of Kawahara equation
تقارن و قوانین حفاظت از برای تعمیم معادله Kawahara-2020 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. Keywords: Symmetries | Conservation laws | Hamiltonian structures | Integrability | Formal symmetries |
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