Second harmonic generation: Goursat problem on the semi-strip and explicit solutions
arXiv:nlin/0402055 · doi:10.1088/0266-5611/21/2/016
Abstract
A rigorous and complete solution of the initial-boundary-value (Goursat) problem for second harmonic generation (and its matrix analog) on the semi-strip is given in terms of the Weyl functions. A wide class of the explicit solutions and their Weyl functions is obtained also.
20 pages