Optical soliton solutions of unstable nonlinear Schröodinger dynamical equation and stability analysis with applications

Optik ◽  
2018 ◽  
Vol 157 ◽  
pp. 597-605 ◽  
Author(s):  
Muhammad Arshad ◽  
Aly R. Seadawy ◽  
Dianchen Lu ◽  
Wang Jun
Keyword(s):  
Stability Analysis ◽  
Dynamical Equation ◽  
Soliton Solutions ◽  
Optical Soliton

Construction of optical soliton solutions of the generalized nonlinear Radhakrishnan–Kundu–Lakshmanan dynamical equation with power law nonlinearity

2020 ◽  
Vol 34 (13) ◽  
pp. 2050139 ◽  
Author(s):  
Aly R. Seadawy ◽  
Sultan Z. Alamri ◽  
Haya M. Al-Sharari
Keyword(s):  
Optical Fibers ◽  
Dynamical Equation ◽  
Physical Phenomenon ◽  
Soliton Solutions ◽  
Optical Soliton ◽  
Solitary Wave Solutions ◽  
Light Pulses ◽  
Wave Solutions ◽  
Different Types ◽  
Modified Simple Equation Method

The propagation of soliton through optical fibers has been studied by using nonlinear Schrödinger’s equation (NLSE). There are different types of NLSEs that study this physical phenomenon such as (GRKLE) generalized Radhakrishnan–Kundu–Lakshmanan equation. The generalized nonlinear RKL dynamical equation, which presents description of the dynamical of light pulses, has been studied. We used two formulas of the modified simple equation method to construct the optical soliton solutions of this model. The obtained solutions can be represented as bistable bright, dark, periodic solitary wave solutions.

New optical soliton solutions for Fokas–Lenells dynamical equation via two various methods

2021 ◽  
pp. 2150196
Author(s):  
Aly R. Seadawy ◽  
Khalid K. Ali ◽  
Jian-Guo Liu
Keyword(s):  
Schrodinger Equation ◽  
Dynamical Equation ◽  
Soliton Solutions ◽  
Expansion Method ◽  
Nonlinear Schrodinger Equation ◽  
Optical Soliton ◽  
Modified Kudryashov Method ◽  
Kudryashov Method ◽  
Spatio Temporal ◽  
Temporal Dispersal

In this paper, we examine the Fokas–Lenells equation (FLE) that depicts the promulgation of ultra-short pulsation in visual fibers while confirming the terms of the following asymptotic arrangement beyond those indispensable for the nonlinear Schrödinger equation. In addition the model includes both spatio–temporal dispersal and self-steepening terms. Then, we discuss deep visual solutions of the FLE via taking the modified Kudryashov method and the extended tanh expansion method.

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