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Soliton attraction law

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Ukrainian Mathematical Journal Aims and scope

Abstract

Soliton coordinates are determined for the Korteweg — de Vries equation. In this case, the center of mass of solitons moves uniformly. The two-soliton attraction law is established.

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References

  1. F. Calogero and A. Degasperis,Spectral Transform and Solitons: Tools to Solve and Investigate Nonlinear Evolution Equations, North-Holland, Amsterdam (1982).

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  2. I. L. Nizhnik, “The soliton attraction law,” in:Book of Abstracts. XI International Congress on Mathematical Physics (Paris, July 18–23, 1994), Paris (1994), p. 64.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    I. L. Nizhnik

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  1. I. L. Nizhnik
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Published in Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 5, pp. 686–688, May, 1995.

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Nizhnik, I.L. Soliton attraction law. Ukr Math J 47, 789–792 (1995). https://doi.org/10.1007/BF01059051

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  • DOI: https://doi.org/10.1007/BF01059051

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