Symmetries and conservation laws for a generalization of Kawahara equation

JOURNAL OF GEOMETRY AND PHYSICS

卷:150

Article

Vasicek, Jakub¹ 

[1] Silesian Univ Opava, Math Inst Opava, Na Rybnicku 1, Opava 74601, Czech Republic

关键词: Symmetries;    Conservation laws;    Hamiltonian structures;    Integrability;    Formal symmetries;   

DOI  :  10.1016/j.geomphys.2019.103579

来源: Elsevier

【 摘 要 】

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. (C) 2019 Published by Elsevier B.V.

【 授权许可】

Free