Bulg. J. Phys. vol.38 no.3 (2011), pp. 274-283

Modeling Soliton Interactions of the Perturbed Vector Nonlinear Schrödinger Equation

V.S. Gerdjikov
Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tzarigradsko chaussee, Sofia 1784, Bulgaria
Abstract. The interactions of N solitons of the vector NLS eq. in adiabatic approximation is modeled by a generalized complex Toda chain (GCTC). A comparative analysis with the scalar N-soliton interactions is given. Additional constraints that have to be imposed on the polarization vectors which make the adiabatic approximation applicable are formulated. The effects of two types of external potentials are discussed.

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