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Resumen de Analyzing Abundant Optical Soliton Solutions for Coupled Nonlinear Helmholtz System Arising in Optics Communication

Sajid Ali, Shafiq Ahmad, Aman Ullah, Shabir Ahmad

  • In this article, we extract some optical soliton solutions for the coupled nonlinear Helmholtz system by utilizing the two effective analytical techniques, i.e. complete discriminant system method and enhanced modified extended tanh function method.

    The coupled nonlinear Helmholtz system has many applications in various fields of science such as optical fiber, photonic device, plasmonics, fluid dynamics, plasma physics, and technology. The achieved solutions are structured in exponential, trigonometric, hyperbolic, and Jacobi elliptic function solutions. Different soliton solutions like dark, bright, singular bright, singular periodic, W-M-shaped soliton solutions are obtained. Additionally, the reliability and effectiveness of the applied methodologies, some of the achieved solutions are visualized in 3D and contour representation by choosing well parameters values. The comparison of the achieved results with the solutions obtained in the published literature are discussed, proving that the derived solutions have not been studied previously in the published works. This demonstrates that the suggested methods in this study are more reliable, powerful, effective, and can be implemented to more high and complex non-integrable systems.


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