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

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Document pages: 10 pages

Abstract: In this paper, we shallshow that the Hamiltonian structure can be defined for any nonlinear evolutionequations which describe surfaces of a constant negative curvature, so that thedensities 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 ofinverse scattering method.

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