English

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

Exactly Solvable and Integrable Systems 2009-11-10 v1

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.

Keywords

Cite

@article{arxiv.nlin/0402055,
  title  = {Second harmonic generation: Goursat problem on the semi-strip and explicit solutions},
  author = {Alexander Sakhnovich},
  journal= {arXiv preprint arXiv:nlin/0402055},
  year   = {2009}
}

Comments

20 pages