Atas, Sibel Sehriban; Ali, Karmina K.

This paper is concerned with the generalized resonant nonlinear Schrödinger equation with an arbitrary index, which describes ultra-short pulse propagation in optical fibers. The study uses the main integration method: the modified generalized Riccati equation mapping method, to construct and analyze combined forms of optical soliton solutions. The results are multifaceted, revealing a variety of optical soliton solutions, such as rational solutions in hyperbolic functions, combined solutions of hyperbolic and trigonometric functions, bright, singular, , kink-shaped, smooth kink, and periodic singular. Moreover, two-dimensional, three-dimensional, and contour graphs of some obtained optical soliton solutions are plotted to illustrate the importance of the generalized resonant nonlinear Schrödinger equation, using suitable values of physical parameters. Two-dimensional graphs are used to illustrate the dynamic behavior of the solutions, taking into account the impact of the nonlinear index n and the time parameter t. The obtained optical solutions are considered novel and most likely have not been reported in the literature before.

AtıfScopus1·OpenAlex1

İncele

Isik, Erdem; Bulut, Hasan; Atas, Sibel Sehriban; Atangana, A; Bulut, H; Hammouch, Z; Baskonus, HM; Mekkaoui, T; Belgacem, FB

In this manuscript, we consider the Bernoulli sub-equation function method for obtaining new exponential prototype structures to th Symmetric Regularized Long Wave mathematical model. We obtain new results by using this technique. We plot two-and three-dimensional surfaces of the results by using Wolfram Mathematica 9. At the end of this manuscript, we submit a conclusion in the comprehensive manner.

İncele

Bulut, Hasan; Atas, Sibel Sehriban; Baskonus, Had Mehmet; Atangana, A; Bulut, H; Hammouch, Z; Baskonus, HM; Mekkaoui, T; Belgacem, FB

In this manuscript, we consider the Bernoulli sub-equation function method for obtaining new exponential and complex prototype structures to the Fisher Equation arising in Mathematical biosciences. We obtain new results by using the technique for new properties of model and for more understanding of properties of model. We plot two-and three-dimensional surfaces of the results by using Wolfram Mathematica 9. At the end of this manuscript, we submit a conclusion in the comprehensive manner.

AtıfWoS3·OpenAlex3

İncele

Bulut, Hasan; Atas, Sibel Sehriban; Baskonus, Haci Mehmet

In this manuscript, we consider the Bernoulli sub-equation function method for obtaining new exponential prototype structures to the Cahn-Allen mathematical model. We obtained new results using this technique. We plotted two- and three-dimensional surfaces of the results using Wolfram Mathematica 9. At the end of this manuscript, we submitted a conclusion in a comprehensive manner.

AtıfWoS34·OpenAlex39

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