optical solitons
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Optik ◽  
2022 ◽  
Vol 251 ◽  
pp. 167992
Author(s):  
Elsayed M.E. Zayed ◽  
Khaled A. Gepreel ◽  
Mahmoud El-Horbaty ◽  
Yakup Yıldırım

2022 ◽  
Author(s):  
Thilagarajah Mathanaranjan

Abstract In this study, the generalized coupled nonlinear Schrodinger-KdV (NLS-KdV) system is investigated to obtain new optical soliton solutions. This system appears as a model for reciprocity between long and short waves in various of physical settings. Different kind of new soliton solutions including dark, bright, combined dark-bright, singular and combined singular soliton solutions are obtained using two effective methods namely, the extended sinh-Gordon equation expansion method and the solitary wave ansatz method. In addition, the modulation instability analysis of the system is presented based on the standard linearstability analysis. The behaviours of obtained solutions are expressed by 3D graphs.


Mathematics ◽  
2022 ◽  
Vol 10 (1) ◽  
pp. 138
Author(s):  
Alyaa A. Al-Qarni ◽  
Huda O. Bakodah ◽  
Aisha A. Alshaery ◽  
Anjan Biswas ◽  
Yakup Yıldırım ◽  
...  

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.


2022 ◽  
Vol 54 (2) ◽  
Author(s):  
Mibaile Justin ◽  
Vroumsia David ◽  
Nur Hasan Mahmud Shahen ◽  
Azakine Sindanne Sylvere ◽  
Hadi Rezazadeh ◽  
...  

2022 ◽  
Vol 23 (1) ◽  
pp. 9-14
Author(s):  
E M E Zayed ◽  
R M A Shohib ◽  
M E M Alngar ◽  
A Biswas ◽  
Yakup Yildirim ◽  
...  

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