Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 3367-3389 |
| Number of pages | 23 |
| Journal | Journal of Differential Equations |
| Volume | 266 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2019 Mar 5 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
Cite this
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Stationary solitons of a three-wave model generated by Type II second-harmonic generation in quadratic media. / Chen, Zhi-You; Tang, Yong Li.
In: Journal of Differential Equations, Vol. 266, No. 6, 05.03.2019, p. 3367-3389.Research output: Contribution to journal › Article
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.
UR - http://www.scopus.com/inward/record.url?scp=85052974781&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85052974781&partnerID=8YFLogxK
U2 - 10.1016/j.jde.2018.09.004
DO - 10.1016/j.jde.2018.09.004
M3 - Article
VL - 266
SP - 3367
EP - 3389
JO - Journal of Differential Equations
JF - Journal of Differential Equations
SN - 0022-0396
IS - 6
ER -