A new approach to study nonlinear space-time fractional sine-Gordon and Burgers equations. (23rd December 2020)

• Record Type: Journal Article
• Authors: Roy, Ripan; Akbar, M. Ali
• Is Part Of: IOP SciNotes. Volume 1:Number 3(2020)
• Publication Date: 2020-12-23
• Subjects: The space-time fractional sine-Gordon equation -- Burgers equation -- wave solutions -- generalized (G′/G)-expansion method; 500
• DOI: 10.1088/2633-1357/abd3ab
• Languages: English
• ISSNs: 2633-1357

Abstract

Abstract: In this study, we investigate a couple of nonlinear fractional differential equations namely, the sine-Gordon and Burgers equations in the sense of Riemann-Liouville fractional derivative. In order to examine exact solutions effectively applicable in relaxation and diffusion problems, crystal defects, solid-state physics, plasma physics, vibration theory, astrophysical fusion plasmas, scalar electrodynamics, etc. we introduce the new generalized G ′ / G -expansion method. The method is highly effective and a functional mathematical scheme to examine solitary wave solutions to diverse fractional physical models.