Nonlinear optics problem with transformation of a spatial variable and an oblique derivative

In this paper, we consider a functional differential equation of parabolic type on strip with transformation spatial variable and boundary conditions an oblique derivative. Using the Laplace Fourier transforms, obtain representation problem under consideration in form nonlinear integral equation. A special case is considered. The proved statements make it possible to implement iterative methods for obtaining approximate solutions partial equations taking into account given conditions. results show that presented method promising solving similar problems.