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- Title
Novel solitary waves solutions of the extended cubic(3+1)-dimensional Schro¨dinger equation via applications of three mathematical methods.
- Authors
Seadawy, Aly R.; Ali, Asghar; Bekir, Ahmet
- Abstract
In this manuscript, solitary wave solution of the extended (3+1)-dimensional cubic Schr o ¨ dinger equation are constructed by application of three mathematical methods. These methods are namely called, extended simple equation method, modified extended auxiliary equation mapping method and (G ′ / G) -expansion method respectively. We have derived different types solutions in the form of trignometric, hypberbolic, exponential and rational functions. For the physical phenomena of the concern equation, some solutions are plotted 2-dimensional and 3-dimensional by assigning the particular values to the parameters under the constrain conditions with the assistance of Mathematica software. The extended (3+1)-dimensional cubic Schr o ¨ dinger equation is used to describe the propagation of pulses in highly nonlinear optical systems. Hence all results obtained by our proposed methods are novel and have not been yet reported in any literature. Moreover, this study will support physicists to envisage certain novel hypothesis and theories in nonlinear optical systems.
- Subjects
SCHRODINGER equation; NONLINEAR theories; PHENOMENOLOGICAL theory (Physics); NONLINEAR systems; PHYSICISTS
- Publication
Optical & Quantum Electronics, 2024, Vol 56, Issue 5, p1
- ISSN
0306-8919
- Publication type
Article
- DOI
10.1007/s11082-024-06528-y