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 journalArticle

Abstract

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
Volume78
Issue number2
StatePublished - 1997

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nonlinear systems
shock waves
viscosity
shock wave propagation
carrier waves
nonlinear equations
optical fibers
physics
predictions
simulation
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Cai, D., Bishop, A. R., Grønbech-Jensen, N., & Malomed, B. A. (1997). Dark shock waves in the nonlinear schrödinger system with internal losses. Physical Review Letters, 78(2), 223-226.

Dark shock waves in the nonlinear schrödinger system with internal losses. / Cai, David; Bishop, A. R.; Grønbech-Jensen, Niels; Malomed, Boris A.

In: Physical Review Letters, Vol. 78, No. 2, 1997, p. 223-226.

Research output: Contribution to journalArticle

Cai, D, Bishop, AR, Grønbech-Jensen, N & Malomed, BA 1997, 'Dark shock waves in the nonlinear schrödinger system with internal losses', Physical Review Letters, vol. 78, no. 2, pp. 223-226.
Cai D, Bishop AR, Grønbech-Jensen N, Malomed BA. Dark shock waves in the nonlinear schrödinger system with internal losses. Physical Review Letters. 1997;78(2):223-226.
Cai, David ; Bishop, A. R. ; Grønbech-Jensen, Niels ; Malomed, Boris A. / Dark shock waves in the nonlinear schrödinger system with internal losses. In: Physical Review Letters. 1997 ; Vol. 78, No. 2. pp. 223-226.
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