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2001 | 100 | 6 | 871-877
Article title

Effective Velocity of Soliton in the Presence of a Periodic Background

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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.
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Contributors
author
  • Institute of Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warsaw, Poland
  • Institute of Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warsaw, Poland
References
  • 1. J. Rubinstein, J. Math. Phys., 11, 258, 1970
  • 2. A.V. Ustinov, T. Doderer, R.P. Huebener, N.F. Pedersen, B. Mayer, V.A. Oboznov, Phys. Rev. Lett., 69, 1815, 1992
  • 3. A. Shnirman, Z. Hermon, A.V. Ustinov, B.A. Malomed, A. Ben-Jacob, Phys. Rev. B, 50, 793, 1994
  • 4. J. Pełka, J. Zagrodziński, Physica B, 154, 125, 1989
  • 5. M.G. Forest, D.W. McLaughlin, J. Math. Phys., 23, 1248, 1982
  • 6. J. Zagrodziński, M. Jaworski, J. Phys. B, Condens. Matter, 49, 75, 1982
  • 7. D. Mumford, Tata Lectures on Theta Functions I, Birkhauser, Boston 1983; Tata Lectures on Theta Functions II, Birkhauser, Boston 1984
  • 8. J. Zagrodziński, Phys. Rev. B, 53, 59, 1996
  • 9. J. Zagrodziński, J. Phys. A, Math. Gen., 15, 3109, 1982
  • 10. M.J. Ablowitz, H. Segur, Solitons and the Inverse Scattering Transform, SIAM, Philadelphia 1981
  • 11. F. Oberhettinger, W. Magnus, Adwendung der Elliptischen Functionen in Physik und Technik, Springer, Berlin 1949
  • 12. M. Jaworski, Phys. Lett. A, 244, 97, 1998
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv100n609kz
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