Highly dispersive optical solitons and other soluions for the Radhakrishnan–Kundu–Lakshmanan equation in birefringent fibers by an efficient computational technique

Abstract

In this article, we are interested to discuss the exact optical soiltons and other solutions in birefringent fibers modeled by Radhakrishnan-Kundu-Lakshmanan equation in two component form for vector solitons. We extract the solutions in the form of hyperbolic, trigonometric and exponential functions including solitary wave solutions like multipleoptical soliton, mixed complex soliton solutions. The strategy that is used to explain the dynamics of soliton is known as generalized exponential rational function method. Moreover, singular periodic wave solutions are recovered and the constraint conditions for the existence of soliton solutions are also reported. Besides, the physical action of the solution attained are recorded in terms of 3D, 2D and contour plots for distinct parameters. The achieved outcomes show that the applied computational strategy is direct, efficient, concise and can be implemented in more complex phenomena with the assistant of symbolic computations. The primary benefit of this technique is to develop a significant relationships between NLPDEs and others simple NLODEs and we have succeeded in a single move to get and organize various types of new solutions. The obtained outcomes show that the applied method is concise, direct, elementary and can be imposed in more complex phenomena with the assistant of symbolic computations

The analysis of exact solitons solutions in monomode optical fibers to the generalized nonlinear Schrödinger system by the compatible techniques

“…Although these techniques are straightforward and easy to implement, they introduce many novel sorts of solutions to nonlinear mathematical models, and thus have very robust performance. The pictorial view of the dark, bright, periodic, and singular optical soliton solutions for the equations (9, 73), (63), (33,83), and (88) can be seen in Figures (1)(2)(3)(4)(5)(6), respectively. The findings show that the computational approaches taken are successful, simple, and applicable even to the complicated phenomena and this work will also be beneficial to a large number of engineering and physical model specialists, in our opinion.…”

“…Since the 18th century, scientists have been striving to simplify complex physical processes by modeling them using NLPDEs [1][2][3][4][5][6][7][8][9][10]. Studying optical solitons has implications for many areas of research and development.…”

Novel highly dispersive soliton solutions in couplers for optical metamaterials: leveraging generalized Kudryashov’s Law of refractive index with eighth-order dispersion and multiplicative white noise

“…This characteristic makes them highly desirable for high-speed communication networks where data integrity and efficiency are paramount [5,6]. The emergence of optical solitons in couplers, which connect optical fibers, has attracted considerable attention [7,8]. These solitons can be harnessed and manipulated to create communication channels that are not only more efficient but also more robust, underscoring the significance of comprehending their behavior within coupled systems [9,10].…”

Optical soliton solutions of the stochastic perturbed Radhakrishnan-Kundu-Lakshmanan equation via Itô Calculus

“…New solutions for the RKL equation, including multiple-optical solitons and singular periodic wave solutions, have been presented using efficient computational methods and providing physical interpretations through 3D and 2D plots [22]. A concise and efficient computational strategy using the method of generalized exponential rational functions to extract various types of new solutions for the RKL equation in birefringent fibers has been presented, including solitary wave and singular periodic wave solutions [23]. The use of the similarity reduction method has been discussed to obtain analytical solutions for the variable coefficient RKL equation, imposing conditions on the dependent coefficients and presenting the phase and envelope of the traveling wave solution in terms of the Jacobi elliptic cosine function [24].…”