Symmetry, Pulson Solution, and Conservation Laws of the Holm-Hone Equation
作者： Guo Wang , Xuelin Yong , Yehui Huang , Jing Tian
DOI: 10.1155/2019/4364108
关键词: Structure (category theory) 、 Generalization 、 Focus (optics) 、 Symmetry (physics) 、 Mathematical physics 、 Mathematics 、 Integrable system 、 Conservation law 、 Ansatz 、 Symmetry group
摘要: In this paper, we focus on the Holm-Hone equation which is a fifth-order generalization of Camassa-Holm equation. It was shown that not integrable due to nonexistence suitable Lagrangian or bi-Hamiltonian structure and negative results from Painleve analysis Wahlquist-Estabrook method. We mainly study its symmetry properties, travelling wave solutions, conservation laws. The group one-dimensional optimal system are given. Furthermore, preliminary classifications reductions investigated. Also derive some solitary pattern solutions nonanalytic first-order pulson solution via ansatz-based Finally, laws for presented.
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