Optical soliton perturbation with full nonlinearity for Kundu–Eckhaus equation by modified simple equation method

Optik ◽  
2018 ◽  
Vol 157 ◽  
pp. 1376-1380 ◽  
Author(s):  
Anjan Biswas ◽  
Yakup Yildirim ◽  
Emrullah Yasar ◽  
Houria Triki ◽  
Ali Saleh Alshomrani ◽  
...  
Keyword(s):  
Optical Soliton ◽  
Simple Equation ◽  
Equation Method ◽  
Soliton Perturbation ◽  
Modified Simple Equation Method ◽  
Full Nonlinearity

Optical soliton perturbation with Gerdjikov–Ivanov equation by modified simple equation method

Optik ◽  
2018 ◽  
Vol 157 ◽  
pp. 1235-1240 ◽  
Author(s):  
Anjan Biswas ◽  
Yakup Yildirim ◽  
Emrullah Yasar ◽  
Houria Triki ◽  
Ali Saleh Alshomrani ◽  
...  
Keyword(s):  
Optical Soliton ◽  
Simple Equation ◽  
Equation Method ◽  
Soliton Perturbation ◽  
Modified Simple Equation Method

Optical soliton perturbation for complex Ginzburg–Landau equation with modified simple equation method

Optik ◽  
2018 ◽  
Vol 158 ◽  
pp. 399-415 ◽  
Author(s):  
Anjan Biswas ◽  
Yakup Yildirim ◽  
Emrullah Yasar ◽  
Houria Triki ◽  
Ali Saleh Alshomrani ◽  
...  
Keyword(s):  
Landau Equation ◽  
Optical Soliton ◽  
Simple Equation ◽  
Equation Method ◽  
Ginzburg Landau ◽  
Soliton Perturbation ◽  
Ginzburg Landau Equation ◽  
Modified Simple Equation Method

Optical soliton perturbation with full nonlinearity for Gerdjikov–Ivanov equation by trial equation method

Optik ◽  
2018 ◽  
Vol 157 ◽  
pp. 1214-1218 ◽  
Author(s):  
Anjan Biswas ◽  
Yakup Yildirim ◽  
Emrullah Yasar ◽  
Houria Triki ◽  
Ali Saleh Alshomrani ◽  
...  
Keyword(s):  
Optical Soliton ◽  
Equation Method ◽  
Trial Equation Method ◽  
Soliton Perturbation ◽  
Full Nonlinearity

Optical soliton perturbation with full nonlinearity by trial equation method

Optik ◽  
2018 ◽  
Vol 157 ◽  
pp. 1366-1375 ◽  
Author(s):  
Anjan Biswas ◽  
Yakup Yildirim ◽  
Emrullah Yasar ◽  
Houria Triki ◽  
Ali Saleh Alshomrani ◽  
...  
Keyword(s):  
Optical Soliton ◽  
Equation Method ◽  
Trial Equation Method ◽  
Soliton Perturbation ◽  
Full Nonlinearity

Optical soliton perturbation in magneto-optic waveguides

2018 ◽  
Vol 27 (01) ◽  
pp. 1850005 ◽  
Author(s):  
Anjan Biswas ◽  
Ahmed H. Arnous ◽  
Mehmet Ekici ◽  
Abdullah Sonmezoglu ◽  
Aly R. Seadawy ◽  
...  
Keyword(s):  
Power Law ◽  
Optical Solitons ◽  
Simple Equation ◽  
Equation Method ◽  
Soliton Perturbation ◽  
Integration Schemes ◽  
Kerr Law ◽  
Logarithmic Law ◽  
Modified Simple Equation Method ◽  
Extended Trial

This paper addresses the dynamics of optical solitons in the presence of perturbation terms by the aid of three integration schemes. They are modified simple equation method, trial equation scheme, and the extended trial equation scheme. There are three types of nonlinearities that are studied in this paper which are Kerr law, power law, and logarithmic law. The constraint conditions for the existence of these solitons are also presented.

scholarly journals New Soliton Solutions of the (2+1)-Dimensional System Davey-Stewartson Equation

2018 ◽  
Vol 7 (4.1) ◽  
pp. 37 ◽  
Author(s):  
Anwar J Ja'afar Mohamad Jawad ◽  
Mahmood J. Abu-Al Shaeer ◽  
Marko D. Petkovi_c
Keyword(s):  
Soliton Solutions ◽  
Travelling Wave ◽  
Simple Equation ◽  
Equation Method ◽  
Initial System ◽  
Wave Transformation ◽  
Dimensional System ◽  
Modified Simple Equation Method ◽  
Complex Coefficients

In this paper, we derive several soliton solutions of the generalized Davey-Stewartson equation with the complex coefficients. First we use the travelling wave transformation to reduce the initial system to ODE. The equivalent ODE is then solved, giving several classes of solutions, depending on the values of the parameters. Finally, the Extended Tanh-Coth method and Modified simple equation method.  

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