VARIATIONAL APPROACH TO SOLITONS IN SYSTEMS WITH CASCADED CHI((2)) NONLINEARITY

Authors
AGRANOVICH VM DARMANYAN SA KAMCHATNOV AM LESKOVA TA BOARDMAN AD
Citation
Vm. Agranovich et al., VARIATIONAL APPROACH TO SOLITONS IN SYSTEMS WITH CASCADED CHI((2)) NONLINEARITY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(2), 1997, pp. 1894-1898
Citations number
15
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
55
Issue
2
Year of publication
1997
Pages
1894 - 1898
Database
ISI
SICI code
1063-651X(1997)55:2<1894:VATSIS>2.0.ZU;2-9
Abstract
Soliton propagation in media with cascaded chi((2)) nonlinearities is investigated. The exact soliton solutions of the governing equations a re studied. They are either independent of any free parameters or depe nd only on one. In the limit of a large mismatch the equations have a well known two-parameter nonlinear Schrodinger soliton solution. The a nalogous two-parameter families of solutions for arbitrary phase misma tch are found by means of the variational approach. This proves Menyuk 's robustness hypothesis.