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

D. C. Roberts·A. C. Newell
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Abstract

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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D. C. Roberts, A. C. Newell. 2006-12-08. Finite time collapse of N classical fields described by coupled nonlinear Schrodinger equations. https://doi.org/10.1103/physreve.74.047602

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