V. A. Makarov, V. M. Petnikova, “Practical application of the adiabatic approximation and its simplified version for solving a nonintegrable system of nonlinear Schrödinger equations”, Kvantovaya Elektronika, 2017, Volume 47, Number 11,Pages <nobr>1009

Nonlinear optical phenomena

Practical application of the adiabatic approximation and its simplified version for solving a nonintegrable system of nonlinear Schrödinger equations

V. A. Makarov^ab, V. M. Petnikova^a

^a Lomonosov Moscow State University, Faculty of Physics
^b International Laser Center of Moscow State University

Abstract: Using the example of the interaction of two cnoidal waves with essentially different periods, we compare the results of the application of the adiabatic approximation and its simplified version in the process of solving a nonintegrable system of nonlinear Schrödinger equations. The time boundary of the region of applicability of the simplified adiabatic-approximation version is estimated.

Keywords: cubic nonlinearity, gyrotropy, dispersion, cnoidal waves, adiabatic interaction, amplitude and frequency modulation.

Received: 03.06.2017
Revised: 03.08.2017