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

L. Gagnon·J. M. Lina·B. Goulard
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Abstract

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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L. Gagnon, J. M. Lina, B. Goulard. 1994-03-31. Application of Complex Daubechies' Wavelets to Numerical Simulation of a Nonlinear Signal Propagation Model. https://arxiv.org/abs/comp-gas/9403006

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