In this report, we present a quantum theory describing the propagation of the electromagnetic radiation in a fiber in the presence of the third order dispersion coefficient. We obtained the quantum photonpolariton field, hence, we provide herein a coupled set of operator forms for the corresponding nonlinear Schrodinger equations when the third order dispersion coefficient is included. Coupled stochastic nonlinear Schrodinger equations were obtained by applying a positive P-representation that governs the propagation and interaction of quantum solitons in the presence of the third-order dispersion term.Finally, to reduce the fluctuations near solitons in the first approximation, we developed coupled stochastic linear equations.

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