Application of parameter expansion method to the generalized nonlinear discontinuity equation

In this paper, we introduce the generalized nonlinear discontinuity equation for the first time and solve the problem by using He’s modified Lindstedt–Poincaré method and bookkeeping parameter method known as parameter expansion method. We obtain sufficiently accurate solutions with a first-order approximation that are valid for whole domain. The solutions obtained using the approach presented here are then compared to those in the literature and are found to agree well with them.