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1. Instability modulation and novel optical soliton solutions to the Gerdjikov–Ivanov equation with M-fractional.

Author

Ismael, Hajar F., Baskonus, Haci Mehmet, Bulut, Hasan, and Gao, Wei

Subjects
*OPTICAL modulation, *OPERATOR equations, *NONLINEAR equations, *EQUATIONS, *ANALYTICAL solutions
Abstract

The modified exponential function method is used to obtain some new analytical solutions of the nonlinear Gerdjikov–Ivanov equation with the M-fractional operator. The novel obtained solutions are expressed in hyperbolic, trigonometric, and exponential function forms. Moreover, the instability modulation and gain spectra of the Gerdjikov–Ivanov equation are also analyzed. Constraints conditions are utilized to verify the existence of the solutions. Presented solutions are novel, satisfy and verify the M-fractional Gerdjikov–Ivanov equation. [ABSTRACT FROM AUTHOR]

Published
2023
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