Solitary pulse solutions of a coupled nonlinear Schr\"{o}dinger system arising in optics
Analysis of PDEs
2015-10-20 v1
Abstract
We prove the existence of travelling-wave solutions for a system of coupled nonlinear Schr\"{o}dinger equations arising in nonlinear optics. Such a system describes second-harmonic generation in optical materials with nonlinearity. To prove the existence of travelling waves, we employ the method of concentration compactness to prove the relative compactness of minimizing sequences of the associated variational problem.
Keywords
Cite
@article{arxiv.1510.05274,
title = {Solitary pulse solutions of a coupled nonlinear Schr\"{o}dinger system arising in optics},
author = {Sharad Silwal},
journal= {arXiv preprint arXiv:1510.05274},
year = {2015}
}