Cubic–quartic solitons in couplers with optical metamaterials having quadratic–cubic law of nonlinearity

Abstract This paper acquires cubic–quartic solitons in couplers with optical metamaterials that mantain quadratic–cubic nonlinar form. Two integration schemes, namely unified Riccati equation expansion scheme and an addendum to Kudryashov’s approach have made this retrieval possible. Both multiple–core couplers as well as twin–core couplers are considered. A full spectrum of soliton solutions have emerged from these couple of algorithms.