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Derivation of the Bäcklund transformation in the formalism of the inverse scattering problem

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Literature Cited

  1. L. P. Eisenhart, A Treatise on the Differential Geometry of Curves and Surfaces, Dover Publ., New York (1960).

    Google Scholar 

  2. F. Calogero and A. Degasperis, Nuovo Cimento B,32, 201 (1974).

    Google Scholar 

  3. G. L. Lamb Jr, J. Math. Phys.,15, 2157 (1974).

    Google Scholar 

  4. H. H. Chen, Phys. Rev. Lett.,33, 925 (1974).

    Google Scholar 

  5. M. Wadati, H. Sanuki, and K. Konno, Prog. Theor. Phys.,53, 419 (1975).

    Google Scholar 

  6. V. S. Gerdzhikov and P. P. Kulish, Bolg. Fiz. Zh.,5, 337 (1978).

    Google Scholar 

  7. P. P. Kulish, S. V. Manakov, and L. D. Faddeev, Teor. Mat. Fiz.,28, 38 (1976).

    Google Scholar 

  8. L. D. Faddeev, Usp. Mat. Nauk,14, 57 (1959).

    Google Scholar 

  9. R. Jost and W. Kohn, K. Dan. Vidensk. Selsk. Mat.-Fys. Medd.,27, 9 (1953); see also R. Newton, J. Math. Phys.,1, 319 (1960).

    Google Scholar 

  10. R. K. Dodd and R. K. Bullough, Phys. Lett. A,62, 70 (1977).

    Google Scholar 

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Authors
  1. V. S. Gerdzhikov
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  2. P. P. Kulish
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Additional information

Leningrad Branch, V. A. Steklov Mathematics Institute, Academy of Sciences of the USSR. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 39, No. 1, pp. 69–74, April, 1979.

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Gerdzhikov, V.S., Kulish, P.P. Derivation of the Bäcklund transformation in the formalism of the inverse scattering problem. Theor Math Phys 39, 327–331 (1979). https://doi.org/10.1007/BF01018944

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  • DOI: https://doi.org/10.1007/BF01018944

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