ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

Nonlinear wave equation

Nonlinear electromagnetic wave passing through the layer with quadratic and fractionally-­polynomial permittivity dependences on amplitude

The integral equations for powerful flat electromagnetic wave diffraction on nonlinear dielectric layer with cubic nonlinearity and fractionally­polynomial permittivity dependence on wave amplitude have been considered and solved. There are results which have been obtained by several numerical methods: series approaching, minimal discrepancy, power series expansion, and Runge–Kutt methods. Also the some analytical results are presented.