Published August 2009 | Version v1
Journal article Metadata-only

Standing generalized modulating pulse solutions for a nonlinear wave equation in periodic media

Creators

  • 1. Institut für Analysis, Dynamik und Modellierung, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart (Germany)

Description

Standing modulating pulse solutions consist of a standing pulse-like envelope modulating an underlying spatially and temporarily oscillating carrier wave. Using spatial dynamics, invariant manifold theory and normal form theory for periodic systems we construct such solutions on large domains in time and space for a nonlinear wave equation with spatially periodic coefficients. Such solutions play an important role in theoretical scenarios where photonic crystals are used as optical storage

Availability note (English)

Available from http://dx.doi.org/10.1088/0951-7715/22/8/006

Additional details

Identifiers

DOI
10.1088/0951-7715/22/8/006;
PII
S0951-7715(09)93882-8;

Publishing Information

Journal Title
Nonlinearity (Print)
Journal Volume
22
Journal Issue
8
Journal Page Range
p. 1869-1898
ISSN
0951-7715

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
45035035
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S77: NANOSCIENCE AND NANOTECHNOLOGY;
Descriptors DEI
CRYSTALS; MATHEMATICAL SOLUTIONS; NANOSTRUCTURES; NONLINEAR PROBLEMS; PERIODICITY; PHOTONS; SPACE; STANDING WAVES; WAVE EQUATIONS
Descriptors DEC
BOSONS; DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; EQUATIONS; MASSLESS PARTICLES; PARTIAL DIFFERENTIAL EQUATIONS; VARIATIONS