Second harmonic generation: Goursat problem on the semi-strip and explicit solutions

Details Second harmonic generation: Goursat problem on the semi-strip and explicit solutions Second harmonic generation: Goursat problem on the semi-strip and explicit solutions

2004-02-27

arxiv.org/abs/nlin/0402055v1

Inverse Problems, v. 21:2 (2005), pp.703-716

Nonlinear Sciences

Exactly Solvable and Integrable Systems

20 pages

Scientific paper

10.1088/0266-5611/21/2/016

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.

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