Abstract

Short Envelope Solitons in Dispersive Media

E.M.Gromov (Institute of Applied Physics of Russian Academy of Sciences, Nizhny Novgorod, Russia)

e-mail: gromov@hydro.appl.sci-nnov.ru

The fundamental classical wave problem of propagation of short (of a order of few wave length) intense high-frequency wave packets in nonlinear dispersive media of different nature is analized. Basic equation correctly describing dynamics of the packets is the third-order nonlinear Schroedinger equation (NSE-3) including both the nonlinear dispersion terms and third-order linear dispersion one. New class of the sech-like short solitons in the frame of ther NSE-3 are found. This class is a unique stably localized solution of the NSE-3: any initial pulse tends to one or a few solitons plus a linear quasi-periodic wave under the condition of existence of the solution. The interaction of the solitons in the frame of the NSE-3 is inelastic: it is accompanied by radiation of part of the wave field from the area of interaction, an increase of the soliton with a larger amplitude, and a decrease of the soliton with a smaller one [1-3]. Propagation of the short intense wave packets in birefractive nonlinear dispersive media with taking into account polarization effects is analized in the frame of the coupled NSE-3. New class of the short vector envelope solitons in the frame of coupled NSE-3 is found [4]. Stability of the short vector solitons is analized. This work was supported by the Russian Foundation for Basic Research (projects Nos 00-02-16596 and 00-15-96772). References: 1. E.M. Gromov, V.I. Talanov, Chaos, 10, 551-558 (2000). 2. E.M. Gromov, L.V. Piskunova, V.V. Tyutin, Phys. Lett. A 256, 153-158 (1999). 3. E.M. Gromov, V.V. Tyutin, D. E. Vorontzov, Phys. Lett. A 257, 182-188 (1999). 4. E.M. Gromov, L.V. Piskunova, V.V. Tyutin, D.E. Vorontzov, Phys. Lett. A 287, 233-239 (2001).

Section : 9