New perceptions for the bright and dark soliton solutions to the modified nonlinear Schr¨odinger equation

Faculty Science Year: 2023
Type of Publication: ZU Hosted Pages:
Authors:
Journal: International Journal of Modern Physics B World Scientific Publishing Company Volume:
Keywords : , perceptions , , bright , dark soliton solutions to , modified    
Abstract:
In this study, we will implement new bright and dark perceptions for the solitary wave solutions to the modified nonlinear Schr¨odinger equation. The achieved solutions will describe new vision of the following forms. The first form is the rogue wave modes for a derivative nonlinear Schrodinger model with positive linear dispersion which describe the propagation of rogue waves in ocean engineering as well as all similar waves such as dynamics waveguides that have unexpected large displacements. The second form is the waves which occur only in the regime of positive cubic nonlinearity. The third form is the waves that also occur in the regime that coincides exactly with the existence of instabilities of plane waves. The fourth form is the long-wave limit of a breather (a pulsing mode). Two famous different schemas are involved for this purpose. The first schema is the solitary wave ansatz method, while the second schema is the extended simple equation method. The two schemas are implemented in the same vein and parallel to construct new perceptions to the soliton solutions of this model. A comparison between the obtained new perceptions with the old perceptions that were realized before they have been documented.
   
     
 
       

Author Related Publications

  • Maha Shehata Mohamed Shehata, "Comparison between the new exact and numerical solutions of the Mikhailov–Novikov–Wang equation", Wiley, 2021 More
  • Maha Shehata Mohamed Shehata, "Optical solitons to a perturbed Gerdjikov-Ivanov equation using two different techniques", Gravitation, Mathematical Physics and Field Theory Revista Mexicana de F´ısica, 2021 More
  • Maha Shehata Mohamed Shehata, "Exact propagation of the isolated waves model described by the three coupled nonlinear Maccari's system with complex structure", © World Scienti c Publishing Company, 2021 More
  • Maha Shehata Mohamed Shehata, "Study on abundant explicit wave solutions of the thin‑film Ferro‑electric materials equation", Springer, 2021 More
  • Maha Shehata Mohamed Shehata, "Study on abundant explicit wave solutions of the thin‑film Ferro‑electric materials equation", Springer, 2021 More

Department Related Publications

  • Metwally AlAwadi Elsayed AlAwadi, "Sarmanov Family of Bivariate Distributions: Statistical Properties—Concomitants of Order Statistics—Information Measures", ٍSpringer, 2022 More
  • Alaa Hassan Attia Hassan, "Subclass of Multivalent β-Uniformly Functions with Varying Arguments", Hindawi Publishing Corporation, USA, 2013 More
  • Ahmed Mohamed Khedr Souliman, "Minimum connected cover of a query region in heterogeneous wireless sensor networks", Information Sciences, 2013 More
  • Marwa Osman Mohamed Othman, "Estimation of reliability function based on the upper record values for generalized gamma Lindley stress–strength model: Case study COVID-19", Science-Gate, 2022 More
  • Alaa Hassan Attia Hassan, "Hadamard Product Properties for Certain Subclasses of p-Valent Meromorphic Functions", MDPI, 2022 More
Tweet