TY - JOUR
T1 - Drift instability and tunneling of lattice solitons
AU - Sivan, Y.
AU - Fibich, G.
AU - Ilan, B.
PY - 2008/4/29
Y1 - 2008/4/29
N2 - We derive an analytic formula for the lateral dynamics of solitons in a general inhomogeneous nonlinear media, and show that it can be valid over tens of diffraction lengths. In particular, we show that solitons centered at a lattice maximum can be "mathematically unstable" but "physically stable." We also derive an analytic upper bound for the critical velocity for tunneling, which is valid even when the standard Peierls-Nabarro potential approach fails.
AB - We derive an analytic formula for the lateral dynamics of solitons in a general inhomogeneous nonlinear media, and show that it can be valid over tens of diffraction lengths. In particular, we show that solitons centered at a lattice maximum can be "mathematically unstable" but "physically stable." We also derive an analytic upper bound for the critical velocity for tunneling, which is valid even when the standard Peierls-Nabarro potential approach fails.
UR - http://www.scopus.com/inward/record.url?scp=43049130407&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.77.045601
DO - 10.1103/PhysRevE.77.045601
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AN - SCOPUS:43049130407
SN - 1539-3755
VL - 77
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 4
M1 - 045601
ER -