Optical Solitons in Magneto-Optic Waveguides Having Kudryashov’s Law of Nonlinear Refractive Index by Trial Equation Approach

Wang, Ming-Yue; Biswas, Anjan; Yıldırım, Yakup; Moraru, Luminița; Moldovanu, Simona; Alghamdi, Abdulah A.

doi:10.3390/electronics12020331

Electronics

2023

DOI: 10.3390/electronics12020331

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Optical Solitons in Magneto-Optic Waveguides Having Kudryashov’s Law of Nonlinear Refractive Index by Trial Equation Approach

Ming-Yue Wang

Anjan Biswas

Yakup Yıldırım

et al.

Abstract: The paper addresses optical solitons in magneto-optic waveguides that are studied using Kudryashov’s law of nonlinear refractive index in the presence of chromatic dispersion and Hamiltonian-type perturbation terms. The trial solution approach yielded a variety of soliton solutions, which are listed in this paper.

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Cited by 8 publications

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A new analytic approach and its application to new generalized Korteweg‐de Vries and modified Korteweg‐de Vries equations

Kumar,

Malik

2024

Math Methods in App Sciences

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The current study is important from two perspectives. Firstly, in this article, we suggest a novel analytical technique for creating the exact solutions to nonlinear partial differential equations (NLPDEs). In order to study the dynamical behaviors of various wave phenomena, we can construct the several exact solutions in the form of Jacobi elliptic solutions, hyperbolic solutions, trigonometric solutions, and exponential solutions by using this method. Secondly, we consider a more generalized form of the (2+1)‐dimensional Korteweg–de Vries (KdV) and modified Korteweg‐de Vries (mKdV) equations that plays an important role in describing the shallow water. We successfully extract several soliton solutions for the examined equation. By choosing the appropriate parameters, some graphs of the discovered solutions have been represented in the figures. Every obtained solution has been demonstrated to satisfy the corresponding equation. The findings demonstrate that the method can be applied to solve a number of nonlinear evolution equations. The new solutions and the paper's findings could improve our understanding of how the waves move through shallow water and open up new research avenues.

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A new analytic approach and its application to new generalized Korteweg‐de Vries and modified Korteweg‐de Vries equations

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Math Methods in App Sciences

View full text Add to dashboard Cite

show abstract

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Optical Solitons in Magneto-Optic Waveguides Having Kudryashov’s Law of Nonlinear Refractive Index by Trial Equation Approach

Cited by 8 publications

References 24 publications

A new analytic approach and its application to new generalized Korteweg‐de Vries and modified Korteweg‐de Vries equations

A new analytic approach and its application to new generalized Korteweg‐de Vries and modified Korteweg‐de Vries equations

Stability analysis and some exact solutions of a particular equation from a family of a nonlinear Schrödinger equation with unrestricted dispersion and polynomial nonlinearity

Some new optical solitary waves solutions of a third order dispersive Schrödinger equation with Kerr nonlinearity using an efficient approach associated with Riccati equation

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