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Sayed, S.M., Elhamahmy, O.O. and Gharib, G.M. (2008) Travelling Wave Solutions for the KdV-Burgers-Kuramoto and Nonlinear Schrodinger Equations Which Describe Pseudospherical Surfaces. Journal of Applied Mathematics, 2008, 576-583.
https://doi.org/10.1155/2008/576783

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.