Abstract

We present an analytical investigation of the propagation and the switching of solitons in a three-core nonlinear fiber coupler with a variational method using the Lagrangian density formulation. The analytical solutions were directly obtained from the coupled nonlinear Schrodinger equations (NLSE). The transmission characteristics of first order solitons obtained by the analytical procedure agrees well with the results obtained from the numerical analysis. In addition the analysis shows the existence of soliton eigenstates in the three core nonlinear fiber coupler, where no coupling between the fibers was observed.

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