adyu j sci

Adıyaman University Journal of Science

2147-1630 2146-586X

Adıyaman University

10.37094/adyujsci.838536

Mathematical Physics

Matematiksel Fizik

Optical Solutions of the Kundu-Eckhaus Equation via Two Different Methods

https://orcid.org/0000-0001-5700-9127

Kaplan

Melike

KASTAMONU ÜNİVERSİTESİ

06 30 2021

11 1 126 135 12 10 2020 05 14 2021

2011

Adıyaman University Journal of Science

This work is devoted to obtaining new optical solutions to the Kundu-Eckhaus (KE) equation which is believed to play a crucial part in the area of nonlinear optics. Two different methods, the exp(−𝜑 (ε)) method with the exponential rational function approach have been utilized. Both methods are efficient in finding the analytical solutions of many nonlinear partial differential equations and fractional differential equations. Results obtained in this research are dissimilar to the ones in the literature and the solutions are controlled by relocating them back to the primary equation. Finally, it can be stated that optical solutions have a promising future.

Nonlinear equation Symbolic Computation Optical solutions

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