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Contribution to Book
Study of Soliton Stabilization in D+1 Dimensions using Novel Analytical and Numerical Techniques
Nonlinear Optics and Applications
  • George Nehmetallah, The Catholic University of America
  • Partha P. Banerjee, University of Dayton
Document Type
Book Chapter
Publication Date
1-1-2007
Abstract
In this Chapter, we provide a brief review of the underlying nonlinear Schrödinger and associated equations that model spatio-temporal propagation in one and higher dimensions in a nonlinear dispersive environment. Particular attention is given to fast adaptive numerical techniques to solve such equations, and in the presence of dispersion and nonlinearity management, saturating nonlinearity and nonparaxiality. A unique variational approach is also outlined which helps in determining the ranges of nonlinearity and dispersion parameters to ensure stable solutions of the nonlinear equations. The propagation of 3+1 dimensional spatio-temporal pulses, or optical bullets is also modeled using a fast adaptive split-step Hankel transform technique.
Inclusive pages
31-61
ISBN/ISSN
978-81-308-0173-5
Document Version
Published Version
Comments

This document is provided for download by permission of the publisher. Permission documentation is on file.

Original citation: Nonlinear Optics and applications, 2007. Eds. Hossin A. Abdeldayem and Donald O. Frazier. Research Signpost. ISBN 978-81-308-0173-5

Publisher
Research Signpost
Place of Publication
Kerala, India
Peer Reviewed
Yes
Citation Information
George Nehmetallah and Partha P. Banerjee. "Study of Soliton Stabilization in D+1 Dimensions using Novel Analytical and Numerical Techniques" Nonlinear Optics and Applications (2007)
Available at: http://works.bepress.com/partha_banerjee/12/