Abstract
| Original language | English |
|---|---|
| Journal | Physical Review B |
| Volume | 56 |
| Issue number | 22 |
| Pages (from-to) | 14407-14413 |
| ISSN | 2469-9950 |
| DOIs | |
| Publication status | Published - 1998 |
Bibliographical note
Copyright (1997) by the American Physical Society.Keywords
- LOCALIZATION
- SCHRODINGER-EQUATION
- PROPAGATION
- STABILITY
- DYNAMICS
- BLOW-UP
- 2-DIMENSIONAL SOLITONS
- DISCRETE-SYSTEMS
- SCHROEDINGER EQUATIONS
- COMPETITION
Cite this
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Stabilization of nonlinear excitations by disorder. / Christiansen, Peter Leth; Gaididei, Yuri Borisovich; Johansson, M.; Rasmussen, Kim; Usero, D.; Vazquez, L.
In: Physical Review B, Vol. 56, No. 22, 1998, p. 14407-14413.Research output: Contribution to journal › Journal article › Research › peer-review
TY - JOUR
T1 - Stabilization of nonlinear excitations by disorder
AU - Christiansen, Peter Leth
AU - Gaididei, Yuri Borisovich
AU - Johansson, M.
AU - Rasmussen, Kim
AU - Usero, D.
AU - Vazquez, L
N1 - Copyright (1997) by the American Physical Society.
PY - 1998
Y1 - 1998
N2 - Using analytical and numerical techniques we analyze the static and dynamical properties of solitonlike excitations in the presence of parametric disorder in the one-dimensional nonlinear Schrodinger equation with a homogeneous power nonlinearity. Both the continuum and the discrete problem are investigated. We find that otherwise unstable excitations can be stabilized by the presence of disorder in the continuum problem. For the very narrow excitations of the discrete problem we find that the disorder has no effect on the averaged behavior. Finally, we show that the disorder can be applied to induce a high degree of controllability of the spatial extent of the stable excitations in the continuum system.
AB - Using analytical and numerical techniques we analyze the static and dynamical properties of solitonlike excitations in the presence of parametric disorder in the one-dimensional nonlinear Schrodinger equation with a homogeneous power nonlinearity. Both the continuum and the discrete problem are investigated. We find that otherwise unstable excitations can be stabilized by the presence of disorder in the continuum problem. For the very narrow excitations of the discrete problem we find that the disorder has no effect on the averaged behavior. Finally, we show that the disorder can be applied to induce a high degree of controllability of the spatial extent of the stable excitations in the continuum system.
KW - LOCALIZATION
KW - SCHRODINGER-EQUATION
KW - PROPAGATION
KW - STABILITY
KW - DYNAMICS
KW - BLOW-UP
KW - 2-DIMENSIONAL SOLITONS
KW - DISCRETE-SYSTEMS
KW - SCHROEDINGER EQUATIONS
KW - COMPETITION
U2 - 10.1103/PhysRevB.56.14407
DO - 10.1103/PhysRevB.56.14407
M3 - Journal article
VL - 56
SP - 14407
EP - 14413
JO - Physical Review B (Condensed Matter and Materials Physics)
JF - Physical Review B (Condensed Matter and Materials Physics)
SN - 1098-0121
IS - 22
ER -