Hamiltonian Structure, Soliton Solution and Conservation Laws for a New Fifth-Order Nonlinear Evolution Equation Which Describes Pseudo-Spherical Surfaces — Oak Academic Publishing
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Hamiltonian Structure, Soliton Solution and Conservation Laws for a New Fifth-Order Nonlinear Evolution Equation Which Describes Pseudo-Spherical Surfaces
Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
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Mathematics Department, Faculty of Science, University of Tabouk (UT), KSA
1 Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
2 Mathematics Department, Faculty of Science, University of Tabouk (UT), KSA
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.
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