Hamiltonian Structure, Soliton Solution and Conservation Laws for a New Fifth-Order Nonlinear Evolution Equation Which Describes Pseudo-Spherical Surfaces

• 作者: N. O. Al-Atawi S. M. Sayed
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: Nonlinear Evolution Equations Conservation LAWS Pseudo-Spherical Surfaces
• 年，卷（期）: 2017,（2）
• 页码范围: 166-174
• 页数: 9页
• 分类号: O1

摘要

In this paper, we shall show that the Hamiltonian structure can be defined for any nonlinear evolution equations which describe surfaces of a constant negative curvature, so that the densities of conservation laws can be considered as corresponding Hamiltonians. This paper obtains the soliton solution and conserved quantities of a new fifth-order nonlinear evolution equation by the aid of inverse scattering method.