Finding stability conditions of a soliton-like mode of optical-terahertz radiation

We study the process of THz soliton-like mode generation when an optical pulse with tilted wave front is launched into a crystal. Crucial role of the wave front tilt for the trapping of optical-terahertz solitons of a new type was proved theoretically and in experiments as well. These modes were developed as solutions of coupled Zakharov–Boussinesqtype equations. At that, diffraction was a contributing factor for soliton formation. Scenarios for soliton generation of terahertz radiation are quite possible to be observed in crystals with a characteristic size of a few millimeters. In the present work, using numerical simulation, we tackle the question of such soliton stability which still remains open.