Effective Velocity of Soliton in the Presence of a Periodic Background

• Authors: J. Pełka , J. Zagrodziński
• Languages of publication: EN

Abstracts

EN

The effective soliton velocity in the presence of a periodic background differs from that when a soliton propagates alone. Using approximate relations for the Riemann-theta functions, the effective soliton velocity is derived and discussed. General relations are illustrated by examples of Korteweg de Vries and sine-Gordon equations because of the application in the Josephson junction theory.

Keywords

EN

42.50.Md; 42.81.Dp; 74.50.+r; 85.25.Cp

Discipline

• 74.50.+r: Tunneling phenomena; Josephson effects(for SQUIDs, see 85.25.Dq; for Josephson devices, see 85.25.Cp; for Josephson junction arrays, see 74.81.Fa)
• 42.81.Dp: Propagation, scattering, and losses; solitons
• 85.25.Cp: Josephson devices
• 42.50.Md: Optical transient phenomena: quantum beats, photon echo, free-induction decay, dephasings and revivals, optical nutation, and self-induced transparency

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2001
• Volume: 100
• Issue: 6
• Pages: 871-877

Dates

published

2001-12

received

2001-09-03

Contributors

author

J. Pełka

• Institute of Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warsaw, Poland

author

J. Zagrodziński

• Institute of Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warsaw, Poland

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Identifiers

DOI

10.12693/APhysPolA.100.871