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Dr. Mohamed Reda Ali Mohamed :: Publications:

Title:
Construction of Lump and optical solitons solutions for (3 + 1) model for the propagation of nonlinear dispersive waves in inhomogeneous media
Authors: Mohamed R. Ali, R. Sadat
Year: 2021
Keywords: The Hirota Bilinear Method; The improved tanh-coth method; The improved tan-cot method; The constant coefficients (3+1)-dimensional Extended Date-Jimbo-Kashiwara-Miwa (EDJKM) Equation; New exact solutions.
Journal: Optical and Quantum Electronics
Volume: 53
Issue: 279
Pages: 9
Publisher: springer
Local/International: International
Paper Link:
Full paper Not Available
Supplementary materials Not Available
Abstract:

Our work aims to investigate new solutions for the (3 + 1)-dimensional Extended Date–Jimbo–Kashiwara–Miwa Equation which characterize the physical phenomena owing to the inhomogeneities of media. By using the Hirota—method with the aid of a quadratic test function, we derived a new Lump—soliton solution that localized in all directions in space and time. A class of 1-soliton solution and more-soliton solution are explored using the improved tanh–coth method and the improved tan–cot method. The sequel in these solutions demonstrate a valuation of physical phenomenon. Two, three-dimensional, contour and density plots are presented to illustrate the behaviors of the solitons.

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