scholarly journals New complex waves of perturbed Shrödinger equation with Kerr law nonlinearity and Kundu-Mukherjee-Naskar equation

2020 ◽  
Vol 16 ◽  
pp. 102816 ◽  
Author(s):  
Adil Jhangeer ◽  
Aly R. Seadawy ◽  
Faiqa Ali ◽  
Abbirah Ahmed
Keyword(s):  
Kerr Law ◽  
Kerr Law Nonlinearity ◽  
Complex Waves ◽  
Shrodinger Equation

scholarly journals Optical soliton perturbation with spatio-temporal dispersion having Kerr law nonlinearity by the variational iteration method

2020 ◽  
Vol 66 (4 Jul-Aug) ◽  
pp. 404
Author(s):  
O. González Gaxiola ◽  
A. Biswas ◽  
A. Kamis Alzahrani ◽  
M. R. Belic
Keyword(s):  
Iteration Method ◽  
Variational Iteration Method ◽  
Optical Soliton ◽  
Modal Dispersion ◽  
Soliton Perturbation ◽  
Variational Iteration ◽  
Kerr Law ◽  
Kerr Law Nonlinearity ◽  
Spatio Temporal ◽  
Temporal Dispersion

This paper studies optical soliton perturbation that appears with Kerr law nonlinearity having spatio-temporal dispersion. The numerical scheme adopted is the variational iteration method. The perturbation terms are of Hamiltonian type and stem from inter-modal dispersion, self-steepening and nonlinear dispersion. Both bright and dark solitons are taken into consideration.

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.

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