Dark shock waves in the nonlinear schrödinger system with internal losses

David Cai, A. R. Bishop, Niels Grønbech-Jensen, Boris A. Malomed

Research output: Contribution to journalArticlepeer-review


We demonstrate that the \(1+1\) dimensional, normal-dispersion, nonlinear Schrödinger equation with an “internal viscosity” has a stable “dark” shock wave (SW) solution, which is the invasion of the empty (dark) domain into the energy-carrying one. It may be interpreted as an optical SW in a loss-compensated nonlinear optical fiber. We predict that it can be created experimentally with a temporal width of a few picoseconds at a carrier-wave background power about 10 W. We develop a theoretical analysis that captures the physics of the SW propagation. The prediction that the SW velocity has a constant value in the limit of small viscosity, and scales as the square root of the viscosity in the large viscosity limit, are confirmed by the full dynamics simulations.

Original languageEnglish (US)
Pages (from-to)223-226
Number of pages4
JournalPhysical Review Letters
Issue number2
StatePublished - Jan 13 1997

ASJC Scopus subject areas

  • General Physics and Astronomy


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