Abundant soliton solutions for Radhakrishnan-Kundu-Laksmanan equation with Kerr law non-linearity by improved tanΦ(ξ)2-expansion technique

Optik ◽  
2021 ◽  
pp. 167787
Author(s):  
Ghazala Akram ◽  
Maasoomah Sadaf ◽  
Mirfa Dawood
Keyword(s):  
Soliton Solutions ◽  
Kerr Law ◽  
Expansion Technique

Comments on “Analytical soliton solutions of Biswas–Milovic equation in Kerr and non-Kerr law media, Optik 157 (2018) 993–1002”

Optik ◽  
2019 ◽  
Vol 179 ◽  
pp. 828-830
Author(s):  
Hamood Ur Rehman ◽  
Muhammad Shoaib Saleem ◽  
Abdul Malik Sultan
Keyword(s):  
Soliton Solutions ◽  
Kerr Law

New optical soliton solutions of Biswas–Arshed model with Kerr law nonlinearity

2021 ◽  
pp. 2150263
Author(s):  
A. Tripathy ◽  
S. Sahoo ◽  
S. Saha Ray ◽  
M. A. Abdou
Keyword(s):  
Exact Solutions ◽  
Soliton Solutions ◽  
Expansion Method ◽  
Dark Soliton ◽  
Optical Soliton ◽  
Wave Solutions ◽  
Kerr Law ◽  
Kerr Law Nonlinearity ◽  
Ode Method ◽  
Novel Methods

In this paper, the newly derived solutions for the optical soliton of Kerr law nonlinearity form of Biswas–Arshed model are investigated. The exact solutions are extracted by deploying two different novel methods namely, [Formula: see text]-expansion method and Riccati–Bernoulli sub-ODE method. Furthermore, in different conditions, the resultants show different wave solutions like singular, kink, anti-kink, periodic, rational, exponential and dark soliton solutions. Also, the dynamics of the attained solutions are presented graphically.

scholarly journals Solitary Wave Solution of Nonlinear PDEs Arising in Mathematical Physics

Open Physics ◽  
2019 ◽  
Vol 17 (1) ◽  
pp. 381-389
Author(s):  
Attia Rani ◽  
Nawab Khan ◽  
Kamran Ayub ◽  
M. Yaqub Khan ◽  
Qazi Mahmood-Ul-Hassan ◽  
...  
Keyword(s):  
Solitary Wave ◽  
Mathematical Models ◽  
Solitary Wave Solution ◽  
Nonlinear Differential Equations ◽  
Soliton Solutions ◽  
Nonlinear Pdes ◽  
Wave Transformation ◽  
Soliton Theory ◽  
Nonlinear Mathematical Models ◽  
Expansion Technique

Abstract The solution of nonlinear mathematical models has much importance and in soliton theory its worth has increased. In the present article, we have investigated the Caudrey-Dodd-Gibbon and Pochhammer-Chree equations, to discuss the physics of these equations and to attain soliton solutions. The exp(−ϕ(ζ ))-expansion technique is used to construct solitary wave solutions. A wave transformation is applied to convert the problem into the form of an ordinary differential equation. The drawn-out novel type outcomes play an essential role in the transportation of energy. It is noted that in the study, the approach is extremely reliable and it may be extended to further mathematical models signified mostly in nonlinear differential equations.

Optical solitons in nonlinear directional couplers with G′/G-expansion scheme

2015 ◽  
Vol 24 (02) ◽  
pp. 1550017 ◽  
Author(s):  
Mohammad Mirzazadeh ◽  
Mostafa Eslami ◽  
Qin Zhou ◽  
M. F. Mahmood ◽  
Essaid Zerrad ◽  
...  
Keyword(s):  
Power Law ◽  
Soliton Solutions ◽  
Nearest Neighbors ◽  
Optical Solitons ◽  
Nonlinear Media ◽  
Parabolic Law ◽  
Kerr Law ◽  
Singular Soliton ◽  
Optical Couplers ◽  
Expansion Scheme

This paper obtains soliton solutions in optical couplers. The governing equation is solved by the aid of G′/G-expansion scheme. There are four types of nonlinear media that are taken into consideration. These are Kerr law, power law, parabolic law, and dual-power law. There are two kinds optical couplers studied in this paper. They are twin-core couplers and multiple-core couplers, where coupling with nearest neighbors as well as coupling with all neighbors are considered. Dark and singular soliton solutions are retrieved. These soliton solutions come with constraint conditions that must hold for the solitons to exist.

Solitons in fiber Bragg gratings with cubic–quartic dispersive reflectivity having Kerr law of nonlinear refractive index

2021 ◽  
pp. 2050011
Author(s):  
Elsayed M. E. Zayed ◽  
Mohamed E. M. Alngar ◽  
Anjan Biswas ◽  
Mehmet Ekici ◽  
Abdullah Khamis Alzahrani ◽  
...  
Keyword(s):  
Refractive Index ◽  
Nonlinear Refractive Index ◽  
Kerr Effect ◽  
Chromatic Dispersion ◽  
Fiber Bragg Gratings ◽  
Soliton Solutions ◽  
Auxiliary Equation ◽  
Equation Approach ◽  
Complete Spectrum ◽  
Kerr Law

This paper retrieves soliton solutions to fiber Bragg ratings with dispersive reflectivity where cubic–quartic dispersive effects are considered as opposed to the usual chromatic dispersion. The auxiliary equation approach and an addendum to Kudryashov’s scheme display a complete spectrum of soliton forms to the model that is studied with Kerr effect.

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