Abstract
Solitons confined in channels are studied in the two-dimensional nonlinear Schrödinger equation. First, we study a channel-guided soliton in a curved channel. The channel-guided soliton can go through a hairpin curve fairly easily, whereas it can be reflected at a right-angle corner. We find that chaotic scattering is involved with the transition between transmission and reflection. Next, we study the dynamics of two channel-guided solitons near the junction where two channels are merged. The two solitons merge into one soliton, when there is no phase shift. If a phase difference is given to the two solitons, the Josephson oscillation is induced. The Josephson oscillation is amplified near the junction. The two solitons are reflected when the initial velocity is below a critical value.
| Original language | English |
|---|---|
| Article number | 033001 |
| Journal | journal of the physical society of japan |
| Volume | 81 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Mar 1 2012 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
Cite this
Reflection of channel-guided solitons at corners and junctions in two-dimensional nonlinear Schrödinger equation. / Kageyama, Yusuke; Sakaguchi, Hidetsugu.
In: journal of the physical society of japan, Vol. 81, No. 3, 033001, 01.03.2012.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Reflection of channel-guided solitons at corners and junctions in two-dimensional nonlinear Schrödinger equation
AU - Kageyama, Yusuke
AU - Sakaguchi, Hidetsugu
PY - 2012/3/1
Y1 - 2012/3/1
N2 - Solitons confined in channels are studied in the two-dimensional nonlinear Schrödinger equation. First, we study a channel-guided soliton in a curved channel. The channel-guided soliton can go through a hairpin curve fairly easily, whereas it can be reflected at a right-angle corner. We find that chaotic scattering is involved with the transition between transmission and reflection. Next, we study the dynamics of two channel-guided solitons near the junction where two channels are merged. The two solitons merge into one soliton, when there is no phase shift. If a phase difference is given to the two solitons, the Josephson oscillation is induced. The Josephson oscillation is amplified near the junction. The two solitons are reflected when the initial velocity is below a critical value.
AB - Solitons confined in channels are studied in the two-dimensional nonlinear Schrödinger equation. First, we study a channel-guided soliton in a curved channel. The channel-guided soliton can go through a hairpin curve fairly easily, whereas it can be reflected at a right-angle corner. We find that chaotic scattering is involved with the transition between transmission and reflection. Next, we study the dynamics of two channel-guided solitons near the junction where two channels are merged. The two solitons merge into one soliton, when there is no phase shift. If a phase difference is given to the two solitons, the Josephson oscillation is induced. The Josephson oscillation is amplified near the junction. The two solitons are reflected when the initial velocity is below a critical value.
UR - http://www.scopus.com/inward/record.url?scp=84858010943&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84858010943&partnerID=8YFLogxK
U2 - 10.1143/JPSJ.81.033001
DO - 10.1143/JPSJ.81.033001
M3 - Article
AN - SCOPUS:84858010943
VL - 81
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 3
M1 - 033001
ER -