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Ablowitz, M.J., Chakravarty, S. and Halburd, R. (1998) On Painlevé and Darboux-Halphen Type Equations, in the Painlevé Property, One Century Later. Conte, R., Ed., CRM Series in Mathematical Physics, Springer, Berlin.

has been cited by the following article:

• 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.