This article is cited in 2 papers

On a numerical method for solving a nonlinear boundary value eigenvalue problem for electromagnetic TM waves propagating in a layer with Kerr nonlinearity

E. V. Zarembo

Penza State University, Penza

Abstract: The article considers electromagnetic TM-waves propagation in a layer with Kerr nonlinearity. The physical problem is reduced to a nonlinear boundary Eigenvalue problem for a system of two ordinary differential equations. A new method for solving the nonlinear boundary eigenvalue problem is suggested. The method can be applied to study more complicated nonlinearities. Some numerical results are shown.

Keywords: nonlinear boundary eigenvalue problem, ordinary differential equation, Cauchy problem.

UDC: 517.927, 519.62, 517.958