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Quadratic form and semigroups of solitons of the Korteweg-de-Vries equation

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Il Nuovo Cimento A (1965-1970)

Summary

In this paper we establish the quadratic form ofN-solitons of the Korteweg-de-Vries equation and point out three commutative semigroups on the set of its solitons. The quadratic form is convenient for the quality analysis of solitons. The semigroups can be extended to an algebra.

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References

  1. F. Calogero andA. Degasperis:Spectral Transform and Solitons (North-Holland, Amsterdam, 1982).

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Authors and Affiliations

  1. Institute of Theoretical Physics, National Centre for Scientific Research of Vietnam, P.O. Box 429 Boho, 10000, Hanoi, Vietnam

    Vu Xuan Minh

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  1. Vu Xuan Minh
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Vu Xuan, M. Quadratic form and semigroups of solitons of the Korteweg-de-Vries equation. Nuov Cim A 105, 895–898 (1992). https://doi.org/10.1007/BF02799105

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  • DOI: https://doi.org/10.1007/BF02799105

PACS 11.10

PACS 03.65.Ca

PACS 03.65.Ge

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