zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Trapping light with grating defects. (English) Zbl 1104.78008
Clemence, Dominic P. (ed.) et al., Mathematical studies in nonlinear wave propagation. Proceedings of the NSF-CBMS regional research conference, Greensboro, NC, USA, May 15–19, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3349-9/pbk). Contemporary Mathematics 379, 83-92 (2005).
Summary: Gap solitons are localized traveling waves that exist in Bragg grating optical fibers. We demonstrate a family of grating defects that support linear and nonlinear standing wave modes, and show numerically that these defect modes may be used to trap the energy from a gap soliton. A mechanism involving a nonlinear resonance is proposed to explain why trapping occurs in some situations and not in others.
MSC:
78A60Lasers, masers, optical bistability, nonlinear optics
35Q60PDEs in connection with optics and electromagnetic theory