Special Session 151: 

Stationary solitons of a three-wave model generated by Type II second-harmonic generation in quadratic media

Yong-Li Tang
Feng Chia University
Taiwan
Co-Author(s):    Zhi-You Chen
Abstract:
In this report, we consider an optical model generated by Type II Second Harmonic Generation (SHG) and prove the uniqueness of stationary standing wave solutions with behaviors tending to zero at infinity under certain conditions on parameters. In addition, we provide the same issues for the Dirichlet boundary value problems on the ball centered at the origin. A classification of solutions for radial case is also established.