Gharib. M. Gharib, Rania Saadeh, "Reduction of the Self-dual Yang-Mills Equations to Sinh-Poisson Equation and Exact Solutions," WSEAS Transactions on Mathematics, vol. 20, pp. 540-546, 2021, DOI:10.37394/23206.2021.20.57
Gharib. M. Gharib, Rania Saadeh. Reduction of the Self-dual Yang-Mills Equations to Sinh-Poisson Equation and Exact Solutions.
WSEAS Transactions on Mathematics. 2021;20:540-546. 10.37394/23206.2021.20.57
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 20, 2021
Reduction of the Self-dual Yang-Mills Equations to Sinh-Poisson Equation and Exact Solutions
Authors: ,
Abstract: The geometric properties of differential systems are used to demonstrate how the sinh-poisson equation describes a surface with a constant negative curvature in this paper. The canonical reduction of 4-dimensional self dual Yang Mills theorem is the sinh-poisson equation, which explains pseudo spherical surfaces. We derive the Backlund transformations and the travelling wave solution for the sinh-poisson equation in specific. As a result, we discover exact solutions to the self-dual Yang-Mills equations.
Keywords:
Backlund transformations, Nonlinear evolution equations, Yang-Mills theory, Pseudo-spherical surfaces
Pages: 540-546 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 20, 2021, Art. #57 DOI: 10.37394/23206.2021.20.57
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