Optical solitons in birefringent fibers of Kaup-Newell's equation with extended simplest equation method

2020 ◽  
Vol 95 (11) ◽  
pp. 115214
Author(s):  
Hamdy M Ahmed ◽  
Wafaa B Rabie ◽  
Ahmed H Arnous ◽  
Abdul-Majid Wazwaz
Keyword(s):  
Optical Solitons ◽  
Equation Method ◽  
Simplest Equation Method

scholarly journals Soliton Solutions of the Coupled Schrödinger-Boussinesq Equations for Kerr Law Nonlinearity

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Anwar Ja’afar Mohamad Jawad ◽  
Mahmood Jawad Abu-AlShaeer
Keyword(s):  
Soliton Solution ◽  
Soliton Solutions ◽  
Boussinesq Equations ◽  
Optical Solitons ◽  
Equation Method ◽  
Practical Applications ◽  
Kerr Law ◽  
Simplest Equation Method ◽  
Kerr Law Nonlinearity ◽  
Modified Simple Equation Method

In this paper, the coupled Schrödinger-Boussinesq equations (SBE) will be solved by the sech, tanh, csch, and the modified simplest equation method (MSEM). We obtain exact solutions of the nonlinear for bright, dark, and singular 1-soliton solution. Kerr law nonlinearity media are studied. Results have proven that modified simple equation method does not produce the soliton solution in general case. Solutions may find practical applications and will be important for the conservation laws for dispersive optical solitons.

scholarly journals Exact Explicit Solutions and Conservation Laws for a Coupled Zakharov-Kuznetsov System

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Chaudry Masood Khalique
Keyword(s):  
Conservation Laws ◽  
Exact Solutions ◽  
Equation Method ◽  
Explicit Solutions ◽  
Simplest Equation Method ◽  
De Vries

We study a coupled Zakharov-Kuznetsov system, which is an extension of a coupled Korteweg-de Vries system in the sense of the Zakharov-Kuznetsov equation. Firstly, we obtain some exact solutions of the coupled Zakharov-Kuznetsov system using the simplest equation method. Secondly, the conservation laws for the coupled Zakharov-Kuznetsov system will be constructed by using the multiplier approach.

Optical solitons in DWDM system by extended trial equation method

Optik ◽  
2017 ◽  
Vol 141 ◽  
pp. 157-167 ◽  
Author(s):  
Mehmet Ekici ◽  
Abdullah Sonmezoglu ◽  
Qin Zhou ◽  
Anjan Biswas ◽  
Malik Zaka Ullah ◽  
...  
Keyword(s):  
Optical Solitons ◽  
Equation Method ◽  
Extended Trial Equation Method ◽  
Trial Equation Method ◽  
Dwdm System ◽  
Extended Trial

Optical solitons for paraxial wave equation in Kerr media

2019 ◽  
Vol 33 (03) ◽  
pp. 1950020 ◽  
Author(s):  
Kashif Ali ◽  
Syed Tahir Raza Rizvi ◽  
Badar Nawaz ◽  
Muhammad Younis
Keyword(s):  
Wave Equation ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Optical Solitons ◽  
Equation Method ◽  
Kerr Media ◽  
Extended Trial Equation Method ◽  
Trial Equation Method ◽  
Paraxial Wave Equation ◽  
Extended Trial

This paper retrieves Jacobi elliptic, periodic, bright and singular solitons for paraxial nonlinear Schrödinger equation (NLSE) in Kerr media. We use extended trial equation method to obtain these solitons solutions. For the existence of the soliton solutions, constraint conditions are also presented.

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