4.7 Article

On the physical nonlinear (n+1)-dimensional Schrodinger equation applications

Journal

RESULTS IN PHYSICS
Volume 21, Issue -, Pages -

Publisher

ELSEVIER
DOI: 10.1016/j.rinp.2020.103798

Keywords

Optical solitons; Periodic; Explosive; (n+ 1)-NLSE; RB sub-ODE method; Semi-inverse method

Funding

  1. deanship of scientific research at Prince Sattam Bin Abdulaziz University, Saudi Arabia [17450/01/2020]

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By utilizing RB sub-ODE and He's semi-inverse techniques, physical exact nonlinear solutions for the (n+1)-dimensional Schrodinger equation were derived, including various forms of bright and dark solitary waves. These solutions play a crucial role in understanding optical fiber and plasma physics phenomena. The techniques proposed in this study can be applied to other models in new physics and applied science.
Physical exact nonlinear new solutions for the (n+1)-dimensional Schrodinger have been obtained using RB sub-ODE and He's semi-inverse techniques. New structures as trigonometric, rational and exponential hyperbolic solitary forms confirmed many physical phenomena's. We deduce several types of solutions that include bright optical and dark solitons, which are very important from a physical point of view in optical fibers and plasma physics. The proposed two techniques can be also utilized to other models arising in new physics and applied science.

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