TITLE:
Hamiltonian Structure, Soliton Solution and Conservation Laws for a New Fifth-Order Nonlinear Evolution Equation Which Describes Pseudo-Spherical Surfaces
AUTHORS:
S. M. Sayed, N. O. Al-Atawi
KEYWORDS:
Nonlinear Evolution Equations, Conservation Laws, Pseudo-Spherical Surfaces
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.7 No.2,
June
22,
2017
ABSTRACT: 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.