Effective Velocity of Soliton in the Presence of a Periodic Background |
| J. Pełka and J. Zagrodziński Institute of Physics, Polish Academy of Sciences, Al. Lotników 32/46, 02-668 Warsaw, Poland |
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| Received: September 3, 2001 |
| 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. |
| DOI: 10.12693/APhysPolA.100.871 PACS numbers: 42.50.Md, 42.81.Dp, 74.50.+r, 85.25.Cp |