Journal
JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS
Volume 32, Issue 2, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218863523500169
Keywords
(3+1)-dimensional nonlinear Schrodinger equation; extended sinh-Gordon equation expansion method; optical solitons; modulation instability
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This paper explores a new (3 + 1)-dimensional nonlinear Schrodinger equation for modeling the propagation of ultra-short optical pulses in highly-nonlinear media. Optical soliton solutions and other solutions for the model are found using the extended sinh-Gordon equation expansion method. Stability analysis shows that the model is stable and all solutions are stable and exact. Physical explanations of the obtained solutions are presented using 3D and 2D plots. The reported outcomes are useful for the empirical application of fiber optics.
This paper explores the new (3 + 1)-dimensional nonlinear Schrodinger equation which is used to model the propagation of ultra-short optical pulses in highly-nonlinear media. This equation is newly derived based on the extended (3 + 1)-dimensional zero curvature equation. An effective technique, namely, the extended sinh-Gordon equation expansion method is applied to find optical soliton solutions and other solutions for this model. As a result, dark, bright, combined dark-bright, singular, combined singular soliton solutions, and singular periodic wave solutions are obtained. The stability of the model is investigated by using the modulation instability analysis which guarantees that the model is stable and all solutions are stable and exact. Physical explanations of the obtained solutions are presented by using 3D and 2D plots. The reported outcomes are useful in the empirical application of fiber optics.
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