Solutions of the two-wave interactions in quadratic nonlinear media
arXiv:2010.14800 · doi:10.3390/math8111867
Abstract
In this paper, we propose a reliable treatment for studying the two-wave (symbiotic) solitons of interactions in nonlinear quadratic media. We investigate Schauder's fixed point theorem for proving the existence theorem. Additionally, the uniqueness solution for this system is proved. Also, a highly accurate approximate solution is presented via an iteration algorithm.
9 pages, 3 figures