Distinct exact solutions for the conformable fractional derivative Gerdjikov-Ivanov equation via three credible methods

Abstract

This paper reveals the conformable fractional space-time perturbed Gerdjikov-Ivanov (GI) equation, which is applied to nonlinear fibre optics together with photonic crystal fibres. The foremost intent of our operation is adopting the unified method, the modified F-expansion method and the modified Kudryashov method to hunt for definite solutions to the equation. In addition, by selecting fairish values, fluctuation behaviours of the solutions are drafted.

Keywords

• Gerdjikov-Ivanov equation
• the unified method
• the modified F-expansion method
• the modified Kudryashov method