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Investigation of travelling wave solutions for the (3 + 1)‑dimensional hyperbolic nonlinear Schrödinger equation using Riccati equation and F‑expansion techniques
Faculty
Engineering
Year:
2023
Type of Publication:
ZU Hosted
Pages:
Authors:
Samah Mohamed Mabrouk
Staff Zu Site
Abstract In Staff Site
Journal:
Optical and Quantum Electronics Springer US
Volume:
Keywords :
Investigation , travelling wave solutions , , , , 1)‑dimensional hyperbolic
Abstract:
The (3 + 1)-dimensional hyperbolic nonlinear Schrödinger equation (HNLS) is used as a model for different physical phenomena such as the propagation of electromagnetic fields, the dynamics of optical soliton promulgation, and the evolution of the water wave surface. In this paper, new and different exact solutions for the (3 + 1)-dimensional HNLS equation is emerged by using two powerful methods named the Riccati equation method and the F-expansion principle. The behaviors of resulting solutions are different and expressed by dark, bright, singular, and periodic solutions. The physical explanations for the obtained solutions are examined by a graphical representation in 3d profile plots.
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Samah Mohamed Mabrouk, "N-Solitons, kink and periodic wave solutions for (3+1)- dimensional Hirota bilinear equation using three distinct techniques", Elsevier, 2019
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Samah Mohamed Mabrouk, "Traveling Wave Solutions of the Extended Calogero-Bogoyavlenskii-Schiff Equation", IJERT, 2019
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Mohamed Mohamed Ali Mohamed Saied, "Three Resultant Applications In Surface Modeling For Computer Graphics", Second National Conference of Mathematics, Cairo 6-11 April 1996, 1996
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