Cold Soliton of the General Nonlinear Discontinuity Equation

In this paper we consider generalized nonlinear discontinuity equation and try to obtain second-order approximation solution. In order to obtain these solutions we used modified Lindstedt-Poincare method. Then we extract solitonic solution from special case of generalized nonlinear discontinuity equation. These solution behave as particle like in the cold black holes and low temperature dark matter. Other application of these solution is in superfluid and superconductivity.