Finite time collapse of N classical fields described by coupled nonlinear Schrodinger equations
Roberts, D. C. · Newell, A. C.
Other Condensed Matter
Mathematical Physics
Pattern Formation and Solitons
Exactly Solvable and Integrable Systems
Original · EN
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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