Nonautonomous dynamics of local and nonlocal Fokas–Lenells models

Abstract

Abstract We investigate the dynamics of solutions to the local and nonlocal nonautonomous Fokas–Lenells (FL) models. Solutions to the local and nonlocal reductions are presented using the Wronskian technique by imposing constraints on the double Wronskian solutions to the unreduced nonautonomous FL system. Classifications of the soliton solutions are shown in relation to the distribution of the eigenvalues. Moreover, dynamics of these solutions are presented, along with the impacts of the variable coefficient α ( t ) . Notably, the coefficient α ( t ) influences the top traces and velocities of the found solutions in both the local and nonlocal cases, enriching this study.