Application of Complex Daubechies' Wavelets to Numerical Simulation of a   Nonlinear Signal Propagation Model
  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. 
L. Gagnon, J. M. Lina and B. Goulard (Groupe PHYSNUM, Univ. de   Montreal)