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This document discusses the existence and stability of soliton solutions to the ac-driven, damped nonlinear Schrödinger equation on an infinite line. It constructs a chart showing the existence and stability of soliton solutions as functions of the forcing amplitude and dissipation coefficient. For small forcing and dissipation, there are two coexisting solitons, one always unstable and the other losing stability via a Hopf bifurcation as forcing increases if dissipation is below a critical value.

Author

mirdaprisma

Language

EN