Application of Complex Daubechies' Wavelets to Numerical Simulation of a Nonlinear Signal Propagation Model

Details Application of Complex Daubechies' Wavelets to Numerical Simulation of a Nonlinear Signal Propagation Model Application of Complex Daubechies' Wavelets to Numerical Simulation of a Nonlinear Signal Propagation Model

1994-03-31

arxiv.org/abs/comp-gas/9403006v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

4 pages, compressed and uuencoded postcript file (final size: 720 Kbytes) Submitted to 7th SP Workshop on Signal Analysis and

Scientific paper

We report the first application of complex symmetric wavelets to the numerical simulation of a nonlinear signal propagation model. This model is the so-called nonlinear Schrodinger equation that describes, for instance, the evolution of the electric field amplitude in nonlinear optical fibers. We propose and study a new way to implement a global space-time adaptive grid, based on interpolation properties of higher-order scaling functions.

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