On complex wave solutions depicted by the variable coefficients coupled Hirota equation

Optik ◽  
2021 ◽  
Vol 242 ◽  
pp. 167123
Author(s):  
Zhang Shi ◽  
Ben Gao
Keyword(s):  
Variable Coefficients ◽  
Hirota Equation ◽  
Wave Solutions ◽  
Complex Wave

scholarly journals Nonautonomous complex wave solutions to the (2+1)-dimensional variable-coefficients nonlinear Chiral Schrödinger equation

2020 ◽  
Vol 19 ◽  
pp. 103604
Author(s):  
Tukur Abdulkadir Sulaiman ◽  
Abdullahi Yusuf ◽  
S. Abdel-Khalek ◽  
Mustafa Bayram ◽  
Hijaz Ahmad
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Variable Coefficients ◽  
Wave Solutions ◽  
Complex Wave ◽  
Dimensional Variable

Bright and dark optical solitons for the generalized variable coefficients nonlinear Schrödinger equation

2020 ◽  
Vol 21 (7-8) ◽  
pp. 675-681
Author(s):  
Rehab M. El-Shiekh ◽  
Mahmoud Gaballah
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Integration Method ◽  
Variable Coefficients ◽  
Nonlinear Schrodinger Equation ◽  
Equation Method ◽  
Direct Integration ◽  
Wave Solutions ◽  
Direct Integration Method

AbstractIn this paper, the generalized nonlinear Schrödinger equation with variable coefficients (gvcNLSE) arising in optical fiber is solved by using two different techniques the trail equation method and direct integration method. Many different new types of wave solutions like Jacobi, periodic and soliton wave solutions are obtained. From this study we have concluded that the direct integration method is more easy and straightforward than the trail equation method. As an application in optic fibers the propagation of the frequency modulated optical soliton is discussed and we have deduced that it's propagation shape is affected with the different values of both the amplification increment and the group velocity (GVD).

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