Propagating Compression Waves in a Damped AC-Driven Chain of Kinks

  • Boris A. Malomed
Part of the NATO ASI Series book series (NSSB, volume 264)


It is demonstrated that ac drive may support stable propagation of a solitary compression wave (“supesoliton”) in a chain of weakly interacting kinks governed by a damped sine-Gordon model, while the chain as a whole remains quiescent. The supersoliton is described as a propagating soliton in an ac-driven damped Toda lattice. It may propagate at resonant velocities determined by the drive’s frequency, provided the driving amplitude exceeds a certain threshold value to compensate dissipative losses. Physical realizations of this effect are interpreted in terms of long Joseph-son functions (LJJ’s) and commensurate charge-density-wave (CDW) systems: Application of ac bias current to a chain of fluxons in LJJ may give rise to dc voltage, and application of ac external electric field to a chain of charged phase solitons in the CDW system may generate dc current.


Compression Wave Josephson Junction Dissipative Loss Cnoidal Wave Compression Soliton 
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Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • Boris A. Malomed
    • 1
  1. 1.P.P. Shirshov Institute for OceanologyUSSR Academy of SciencesMoscowUSSR

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