A combined variational-topological approach for dispersion-managed solitons in optical fibers

0348283 - MÚ 2012 RIV CH eng J - Journal Article
Hakl, Robert - Torres, P.J.
A combined variational-topological approach for dispersion-managed solitons in optical fibers.
Zeitschrift für angewandte Mathematik und Physik. Roč. 62, č. 2 (2011), s. 245-266. ISSN 0044-2275. E-ISSN 1420-9039
Institutional research plan: CEZ:AV0Z10190503
Keywords : optical soliton * Schrödinger equation * singular equation * periodic solution * upper and lower function
Subject RIV: BA - General Mathematics
Impact factor: 0.951, year: 2011
http://www.springerlink.com/content/y1534p553r530451/

We derive some sufficient conditions for the existence of dispersion-managed solitons in a nonlinear Schr¨odinger equation with periodically varying coefficients. The proof relies on a combination of the variational method with the development of a novel upper and lower function method.
Permanent Link: http://hdl.handle.net/11104/0188852