scholarly journals Gaussons: optical solitons with log-law nonlinearity by Laplace–Adomian decomposition method

Open Physics ◽  
2020 ◽  
Vol 18 (1) ◽  
pp. 182-188
Author(s):  
O. González-Gaxiola ◽  
Anjan Biswas ◽  
Abdullah Kamis Alzahrani
Keyword(s):  
Numerical Simulations ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Optical Solitons ◽  
Decomposition Scheme ◽  
Error Analyses ◽  
Adomian Decomposition ◽  
Log Law

AbstractThis paper presents optical Gaussons by the aid of the Laplace–Adomian decomposition scheme. The numerical simulations are presented both in the presence and in the absence of the detuning term. The error analyses of the scheme are also displayed.

scholarly journals Numerical Simulation of Cubic-Quartic Optical Solitons with Perturbed Fokas–Lenells Equation Using Improved Adomian Decomposition Algorithm

Mathematics ◽  
2022 ◽  
Vol 10 (1) ◽  
pp. 138
Author(s):  
Alyaa A. Al-Qarni ◽  
Huda O. Bakodah ◽  
Aisha A. Alshaery ◽  
Anjan Biswas ◽  
Yakup Yıldırım ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Iterative Method ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Optical Solitons ◽  
Numerical Results ◽  
Decomposition Algorithm ◽  
Adomian Decomposition ◽  
High Level ◽  
Do So

The current manuscript displays elegant numerical results for cubic-quartic optical solitons associated with the perturbed Fokas–Lenells equations. To do so, we devise a generalized iterative method for the model using the improved Adomian decomposition method (ADM) and further seek validation from certain well-known results in the literature. As proven, the proposed scheme is efficient and possess a high level of accuracy.

Bright and dark Thirring optical solitons with improved adomian decomposition method

Optik ◽  
2017 ◽  
Vol 130 ◽  
pp. 1115-1123 ◽  
Author(s):  
H.O. Bakodah ◽  
A.A. Al Qarni ◽  
M.A. Banaja ◽  
Qin Zhou ◽  
Seithuti P. Moshokoa ◽  
...  
Keyword(s):  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Optical Solitons ◽  
Adomian Decomposition

scholarly journals Cubic-quartic bright optical solitons with improved Adomian decomposition method

2020 ◽  
Vol 21 ◽  
pp. 161-167 ◽  
Author(s):  
O. González-Gaxiola ◽  
Anjan Biswas ◽  
Fouad Mallawi ◽  
Milivoj R. Belic
Keyword(s):  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Optical Solitons ◽  
Adomian Decomposition

scholarly journals Highly dispersive optical solitons having Kerr law of refractive index with Laplace-Adomian decomposition

2020 ◽  
Vol 66 (3 May-Jun) ◽  
pp. 291 ◽  
Author(s):  
O. González Gaxiola ◽  
Anjan Biswas ◽  
Ali Saleh Alshomrani
Keyword(s):  
Refractive Index ◽  
Error Analysis ◽  
Decomposition Method ◽  
Soliton Solutions ◽  
Adomian Decomposition Method ◽  
Optical Solitons ◽  
Bright Soliton ◽  
Kerr Law ◽  
Adomian Decomposition

This paper studies highly dispersive optical solitons, having Kerr law of refractive index, numerically. The adopted scheme is Laplace-Adomian decomposition method. Bright soliton solutions are displayed along with their respective error analysis.

Bright optical solitons for Lakshmanan–Porsezian–Daniel model with spatio-temporal dispersion by improved Adomian decomposition method

Optik ◽  
2019 ◽  
Vol 181 ◽  
pp. 891-897 ◽  
Author(s):  
A. Al Qarni ◽  
M.A. Banaja ◽  
H.O. Bakodah ◽  
A.A. Alshaery ◽  
Qin Zhou ◽  
...  
Keyword(s):  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Optical Solitons ◽  
Adomian Decomposition ◽  
Spatio Temporal ◽  
Temporal Dispersion

Bright optical solitons of Chen-Lee-Liu equation with improved Adomian decomposition method

Optik ◽  
2019 ◽  
Vol 181 ◽  
pp. 964-970 ◽  
Author(s):  
A.S.H.F. Mohammed ◽  
H.O. Bakodah ◽  
M.A. Banaja ◽  
A.A. Alshaery ◽  
Qin Zhou ◽  
...  
Keyword(s):  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Optical Solitons ◽  
Adomian Decomposition

Optical Solitons in Birefringent Fibers with Adomian Decomposition Method

2015 ◽  
Vol 12 (12) ◽  
pp. 5846-5853 ◽  
Author(s):  
H. O Bakodah ◽  
M. A Banaja ◽  
A. A Alqarni ◽  
A. A Alshaery ◽  
Muhammad Younis ◽  
...  
Keyword(s):  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Optical Solitons ◽  
Adomian Decomposition
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