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In the paper an interaction between a soliton and a traveling wave in theCoupled Nonlinear Schr\"odinger Equation (CNLSE) is considered. The forceacting on the soliton can both push or pull the soliton depending on parametersof the equation, structure of the soliton and the incident wave. In specialcases analytical results are presented and in general numerical solutions ofboth linearized and the full problem are shown.

Radiation pressure in the Coupled Nonlinear Schr\"odinger Equation exerted on the solitons