Highly dispersive optical solitons and other soluions for the Radhakrishnan–Kundu–Lakshmanan equation in birefringent fibers by an efficient computational technique (original) (raw)
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2021
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 multiple-optical 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
Chinese Journal of Physics, 2020
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Study of Optical Soliton of Nonlinear Optical Fibers by Nonlinear Schrodinger Equation
This paper is mainly concerned with obtaining the pure optical cubic of solitons in nonlinear optical fibers and formulating them by relying on the nonlinear Schrodinger equation (NLSE). This method is effective for extracting optical solitons. We discuss the model responsible for controlling the motion of the soliton with a third-order dispersion effect. This is done without the need for external capabilities to support the visual movement of the soliton. The cubic optical soliton of this model is obtained by relying on the nonlinearity of Kerr law of and without chromatic dispersion. Soliton wave solutions are precisely extracted and constructed using different Csch, Tanh-Coth and exponential functions as well as fiber-optic solitary wave solutions which include complex soliton mixed solutions, singular, multiple, dark and bright solutions. The terms of integration and constraints for the resulting solutions are presented and discussed and we find the solitary and periodic waves solutions of the nonlinear Schrödinger equations.
Exact solutions for wave propagation in birefringent optical fibers
1994
We carry out a group-theoretical study of the pair of nonlinear Schrödinger equations describing the propagation of waves in nonlinear birefringent optical fibers. We exploit the symmetry algebra associated with these equations to provide examples of specific exact solutions. Among them, we obtain the soliton profile, which is related to the coordinate translations and the constant change of phase.
The Bilinear Formula in Soliton Theory of Optical Fibers
Jurnal Fisika Unand
Solitons are wave phenomena or pulses that can maintain their shape stability when propagating in a medium. In optical fibers, they become general solutions of the Non-Linear Schrödinger Equation (NLSE). Despite its mathematical complexity, NLSE has been an interesting issue. Soliton analysis and mathematical techniques to solve problems of the equation keep doing. Yan Chen (2022) introduced them based on bilinear formula for the case of the generalized NLSE extended models into third and fourth-order dispersions and cubic-quintic nonlinearity. In this paper, we review the form of the bilinear formula for the case. We re-observed a one-soliton solution based on the formula and verified the work of the last researcher. Here, the mathematical parameters of position α(0) and phase η are verified to become features of change in horizontal position and phase of one soliton in the (z, t) plane during propagation. In addition, we notice the soliton has established stability. Finally, for t...