scholarly journals Optical solitons for Lakshmanan-Porsezian-Daniel equation with Kerr law non-linearity using improved tanψ(η)2-expansion technique

2021 ◽  
pp. 104758
Author(s):  
Ghazala Akram ◽  
Maasoomah Sadaf ◽  
Mirfa Dawood ◽  
Dumitru Baleanu
Keyword(s):  
Optical Solitons ◽  
Kerr Law ◽  
Expansion Technique

TOPOLOGICAL 1-SOLITON SOLUTION OF THE GENERALIZED RADHAKRISHNAN, KUNDU, LAKSHMANAN EQUATION WITH NONLINEAR DISPERSION

2010 ◽  
Vol 24 (16) ◽  
pp. 1825-1831 ◽  
Author(s):  
BENJAMIN STURDEVANT ◽  
DAWN A. LOTT ◽  
ANJAN BISWAS
Keyword(s):  
Solitary Wave ◽  
Power Law ◽  
Soliton Solution ◽  
Optical Solitons ◽  
Nonlinear Dispersion ◽  
Kerr Law

This paper talks about obtaining an exact 1-soliton solution of the generalized Radhakrishnan, Kundu, Lakshmanan equation with nonlinear dispersion. The solitary wave ansatz will be used to carry out the integration. It will be proved that dark optical solitons can exist only when the power law nonlinearity reduces to Kerr law.

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.

Highly dispersive singular optical solitons having Kerr law nonlinearity by Jacobi's elliptic cs function expansion

Optik ◽  
2019 ◽  
Vol 192 ◽  
pp. 162931 ◽  
Author(s):  
Anjan Biswas ◽  
Abdullah Sonmezoglu ◽  
Mehmet Ekici ◽  
Ali Saleh Alshomrani
Keyword(s):  
Optical Solitons ◽  
Kerr Law ◽  
Function Expansion ◽  
Kerr Law Nonlinearity

Exact optical solitons of Radhakrishnan–Kundu–Lakshmanan equation with Kerr law nonlinearity

2019 ◽  
Vol 33 (06) ◽  
pp. 1950061 ◽  
Author(s):  
Behzad Ghanbari ◽  
Mustafa Inc ◽  
Abdullahi Yusuf ◽  
Mustafa Bayram
Keyword(s):  
Optical Fiber ◽  
Rational Function ◽  
Function Method ◽  
Nonlinear Partial Differential Equations ◽  
Kerr Nonlinearity ◽  
Optical Solitons ◽  
Kerr Law ◽  
Kerr Law Nonlinearity ◽  
Exponential Rational Function Method ◽  
Special Case

A new generalized exponential rational function method (GERFM) is used to acquire some new optical solitons of Radhakrishnan–Kundu–Lakshmanan (RKL) equation with Kerr nonlinearity. This equation is used to model propagation of solitons through an optical fiber. The well-known exponential rational function method is also a special case of the GERFM. The results reveal that the mentioned method is efficient and simple for solving different nonlinear partial differential equations.

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