PROPAGATION OF SHORT NONLINEAR-WAVE PACKETS AND SOLITONS IN SMOOTHLY INHOMOGENEOUS-MEDIA

Propagation of 1D short (of the order of a few wavelengths) nonlinear wave packets and envelope solitons in a smoothly inhomogeneous medium with a linear potential using the general nonlinear equation of the th ird-order approximation of the dispersion theory is considered. First, the explicit solution for the trajectories of nonlinear waves is stud ied. There are different modes wave packet movement depending on the v alue of the third-order terms. Then, the explicit envelope-soliton sol ution is obtained. This solution may be reduced, in a particular case, to the well-known Chen soliton solution.