[abstract] pp.: [2], [3], [4], [5], [6], [7],[back]

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Effect of discreteness on a sine-Gordon three-soliton solution

S. V.Dmitriev, T.Shigenari, K.Abe,

A.A. Vasiliev *, A.E.Miroshnichenko *

The University of Electro-Communication, Japan

*Tver State University, Russia

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Scope:
  1. Chaotic layer of single pendulum
  2. Frenkel-Kontorova chain and sine-Gordon equation
  3. Probabilistic character of a many-soliton collision

References
  1. Yu. S. Kivshar and B. A. Malomed, Rev. Mod. Phys. 61, 763 (1989).
  2. G. M. Zaslavsky, R. Z. Sagdeev, D. A. Usikov and A. A. Chernikov, Weak Chaos and Quasi-Regular Patterns (Cambridge Univ. Press, 1991).
  3. T. Munakata, Phys. Rev. A 45, 1230 (1992).
  4. J. A. D. Wattis, Nonlinearity 9, 1583 (1996).
  5. S. Takeno and S. Homma, J. Phys. Soc. Jpn., 65 (1986).

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  6. S. V Dmitriev, Т. Shigenari, A. A. Vasiliev and K. Abe, Phys. Rev. В 55, 8155 (1997).
  7. S. V. Dmitriev, T. Shigenari, A. A. Vasiliev and A. E. Miroshnichenko, Phys. Lett. A 246(1-2), 129 (1998).