Localized Symmetric and Asymmetric Solitary Wave Solutions of Fractional Coupled Nonlinear Schrödinger Equations

The existence of solutions with localized solitary wave structures is one the significant characteristics nonlinear integrable systems. Darboux transformation (DT) a well-known method for constructing multi-soliton solutions, using type wave, systems, but there are still no reports on extending DT techniques to construct such fractional models. This article takes coupled Schrödinger (CNLS) equations conformable derivatives as an example illustrate feasibility and generalized (GDT) methods symmetric asymmetric Specifically, traditional n-fold first-, second-, third-step GDTs extended CNLS equations. Based GDTs, explicit symmetric/asymmetric soliton soliton–rogon (solitrogon) spatial obtained. study found that integer-order exhibit asymmetry in order case.