Singular and Topological Solitons in Optical Metamaterials by Kudryashov's Method and G? /G-Expansion Scheme

This paper addresses the integrability aspects of solitons in optical metamaterials. There are two types of integration tools that are applied. Topological as well as singular optical solitons are retrieved. An additional set of solutions naturally fall out of these integration schemes that depends on the parameter regimes. These are American singular periodic Scientific solutions. Publishers The constraint conditions for the existence of these solutions are also given. Finally, a numerical simulation for the topological soliton solution is included.