Computing for pattern forming systems in nonlinear optics

Methods used to compute solutions of nonlinear PDEs arising in nonlinear optics are described. In addition a spectral method is presented for integrating dispersion dominated PDEs that works particularly well in integrating systems where a modulational ansatz is appropriate.

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Bibliographic Details
Published in:Mathematics and computers in simulation 1994-12, Vol.37 (4), p.385-403
Main Authors: Indik, R.A., Newell, A.C.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Numerical methods in mathematical programming
Numerical methods in mathematical programming, optimization and calculus of variations
Numerical methods in optimization and calculus of variations
Numerical methods in probability and statistics
Partial differential equations
Sciences and techniques of general use
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Description
Summary:Methods used to compute solutions of nonlinear PDEs arising in nonlinear optics are described. In addition a spectral method is presented for integrating dispersion dominated PDEs that works particularly well in integrating systems where a modulational ansatz is appropriate.
ISSN:0378-4754
1872-7166
DOI:10.1016/0378-4754(94)00026-3