This paper acquires cubic–quartic solitons in couplers with optical metamaterials that maintain quadratic–cubic nonlinear 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.
- Riccati expansion