Parametric autoresonant generation of dark solitons

Phys Rev E. 2022 Aug;106(2-1):024211. doi: 10.1103/PhysRevE.106.024211.

Abstract

The autoresonant generation of dark solitons of the nonlinear Schrödinger (NLS) equation is discussed. The approach is based on capturing the system into a continuing resonance using a small, chirped frequency parametric driving. Adiabatic control of soliton parameters is achieved if the driving amplitude exceeds a threshold.