SOLITON GENERATION IN THE NONLINEAR-INTERACTION OF 2 WAVES

Authors
Citation
Aa. Zabolotskii, SOLITON GENERATION IN THE NONLINEAR-INTERACTION OF 2 WAVES, Physical review. A, 57(4), 1998, pp. 2958-2970
Citations number
25
Categorie Soggetti
Physics
Journal title
ISSN journal
10502947
Volume
57
Issue
4
Year of publication
1998
Pages
2958 - 2970
Database
ISI
SICI code
1050-2947(1998)57:4<2958:SGITNO>2.0.ZU;2-#
Abstract
We consider interaction of a laser field with surface waves propagatin g in a thin layer having a width much less than that of the laser fiel d. It is assumed that the laser field interacts concurrently with a tw o-level transition. We show that generation of the surface waves in th is scheme may be described by the completely integrable Thirring model . We use this model for study of the evolution of a steplike pulse. It is found that a leading edge is described asymptotically by a sequenc e of solitons. The modulation instability leading to the formation of these solitons is treated in a hydrodynamic approximation. For this ai m we find a solution to the Whitham equations associated with deformat ion of the one-phase solution of the Thirring model. We show that the results obtained here can be applied to other physical situations, for instance, the study of the three-wave mixing in a bulk medium.