TY - JOUR
T1 - Stationary solitons of a three-wave model generated by Type II second-harmonic generation in quadratic media
AU - Chen, Zhi You
AU - Tang, Yong Li
PY - 2019/3/5
Y1 - 2019/3/5
N2 - In this paper, we prove the uniqueness of stationary standing wave solutions of an optical model generated by Type II Second Harmonic Generation (SHG) 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.
AB - In this paper, we prove the uniqueness of stationary standing wave solutions of an optical model generated by Type II Second Harmonic Generation (SHG) 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.
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U2 - 10.1016/j.jde.2018.09.004
DO - 10.1016/j.jde.2018.09.004
M3 - Article
AN - SCOPUS:85052974781
VL - 266
SP - 3367
EP - 3389
JO - Journal of Differential Equations
JF - Journal of Differential Equations
SN - 0022-0396
IS - 6
ER -