TY - JOUR
T1 - Finite-time collapse of N classical fields described by coupled nonlinear Schrödinger equations
AU - Roberts, D. C.
AU - Newell, A. C.
PY - 2006
Y1 - 2006
N2 - We prove the finite-time collapse of a system of N classical fields, which are described by N coupled nonlinear Schrödinger equations. We derive the conditions under which all of the fields experiences this finite-time collapse. Finally, for two-dimensional systems, we derive constraints on the number of particles associated with each field that are necessary to prevent collapse.
AB - We prove the finite-time collapse of a system of N classical fields, which are described by N coupled nonlinear Schrödinger equations. We derive the conditions under which all of the fields experiences this finite-time collapse. Finally, for two-dimensional systems, we derive constraints on the number of particles associated with each field that are necessary to prevent collapse.
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U2 - 10.1103/PhysRevE.74.047602
DO - 10.1103/PhysRevE.74.047602
M3 - Article
AN - SCOPUS:33750082082
SN - 1539-3755
VL - 74
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 4
M1 - 047602
ER -