Eur. Phys. J. Plus (2019) 134: 473
https://doi.org/10.1140/epjp/i2019-12832-6

Regular Article

Oblique resonance wave phenomena for nonlinear coupled evolution equations with fractional temporal evolution

¹ Department of Mathematics, Chittagong University of Engineering and Technology, 4349, Chittagong, Bangladesh
² Port City International University, Chittagong, Bangladesh

^* e-mail: golam_hafez@yahoo.com

Received: 10 November 2018
Accepted: 19 June 2019
Published online: 27 September 2019

Abstract

This work investigates the obliquely propagating resonance wave phenomena described by coupled model equations with fractional temporal evolution arising in many branches of physics. The (2 + 1) -dimensional coupled nonlinear Schrödinger equation (NLSE), long wave-short wave resonance interaction (LSRI) equation and Maccari system (MS) having fractional time evolution are considered to study such physical phenomena. The modified Kudryashov method (mKM) with the properties of Khalil's conformable fractional derivatives is implemented to divulge scattered oblique wave solutions of considered equations. The effects of obliqueness and fractional parameter on obtained results are demonstrated graphically along with the physical descriptions. It is found that the resonance wave phenomena are changed with the increase of obliqueness as well as fractional parameter.