SOLUTIONS TO THE OPTICAL CASCADING EQUATIONS

Authors
LAFORTUNE S WINTERNITZ P MENYUK CR
Citation
S. Lafortune et al., SOLUTIONS TO THE OPTICAL CASCADING EQUATIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(2), 1998, pp. 2518-2525
Citations number
24
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
58
Issue
2
Year of publication
1998
Part
B
Pages
2518 - 2525
Database
ISI
SICI code
1063-651X(1998)58:2<2518:STTOCE>2.0.ZU;2-P
Abstract
Group theoretical methods are used to study the equations describing c hi((2)): chi((2)) cascading. The equations are shown not to be integra ble by inverse scattering techniques. On the other hand, these equatio ns do share some of the nice properties of soliton equations. Large fa milies of explicit analytical solutions are obtained in terms of ellip tic functions. In special cases, these periodic solutions reduce to lo calized ones, i.e., solitary waves. All previously known explicit solu tions are recovered, and many additional ones are obtained.