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Prof. Emad Hassan Mohamed Ebrahim Zahran :: Publications:

Title:
New visions of the soliton solutions to the modified nonlinear Schrodinger equation
Authors: Ahmet Bekir , Emad Zahran
Year: 2021
Keywords: Not Available
Journal: Not Available
Volume: Not Available
Issue: Not Available
Pages: Not Available
Publisher: Not Available
Local/International: Local
Paper Link: Not Available
Full paper Not Available
Supplementary materials Not Available
Abstract:

In this article, we will study the modified nonlinear Schr¨odinger equation which represents the propagation of rogue waves in ocean engineering that occur in deep water, usually far out at sea, and are a threat even to capital ships and ocean liners. In related subject for all like waves which occurred at different branches of science which have the same behaviors such as fluid dynamics waveguides that have unexpected large displacements, long-wave limit of a breather (a pulsing mode), telecommunications engineering devices, etc. We will implement new multiple visions for the soliton solution to the modified nonlinear Schr¨odinger equation (MNLSE) that describes successfully these phenomenon. Studying this important model and its own behavior of the resulting solitons description will contribute effectively in marine safety and improvement the pulse devices which cooperate to protect human life effectively and technology for high-capacity optical communications through which the modern asocial media was built…etc. Three different techniques are invited for this purpose. The first technique is the Paul-Painlev´e approach method (PPAM), while the second technique is the Ricatti-Bernolli Sub ODE method (RBSOM). In related subject, the variational iteration method VIM is implemented in the same vein and parallel to construct the numerical solutions corresponding to the achieved soliton solutions via each one of these two methods individually. A good comparison not only between these three visions of soliton solutions but also with that achieved previously by other authors has been demonstrated.

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