Finite time collapse of N classical fields described by coupled nonlinear Schrodinger equations

Details Finite time collapse of N classical fields described by coupled nonlinear Schrodinger equations Finite time collapse of N classical fields described by coupled nonlinear Schrodinger equations

2006-05-24

arxiv.org/abs/cond-mat/0605603v2

Phys. Rev. E 74, 047602 (2006)

Physics

Condensed Matter

Other Condensed Matter

v2: corrected typo on equation 1

Scientific paper

10.1103/PhysRevE.74.047602

We prove the finite-time collapse of a system of N classical fields, which
are described by N coupled nonlinear Schrodinger 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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