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Connection between Zakharov-Shabat and Schrödinger-type inverse-scattering transforms

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Lettere al Nuovo Cimento (1971-1985)

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References

  1. V. E. Zakharov andA. B. Shabat:Sov. Phys. JETP,34, 62 (1972).

    MathSciNet  ADS  Google Scholar 

  2. M. J. Ablowitz, D. J. Kaup, A. C. Newell andH. Segur:Stud. Appl. Math.,53, 294 (1974).

    MathSciNet  Google Scholar 

  3. F. Calogero andA. Degasperis:Nuovo Cimento,32 B, 201 (1976).

    Article  MathSciNet  ADS  Google Scholar 

  4. M. Jaulent andC. Jean:Comm. Math. Phys.,28, 177 (1972) (radial casex ≥ 0);

    Article  MathSciNet  ADS  Google Scholar 

  5. Ann. Inst. Henri Poincaré,25, 105, 119 (1976);

  6. M. Jaulent:Journ. Math. Phys.,17, 1351 (1976);

    Article  MathSciNet  ADS  Google Scholar 

  7. M. Jaulent andI. Miodek:Lett. Math. Phys.,1, 243 (1976).

    Article  MathSciNet  ADS  Google Scholar 

  8. P. C. Sabatier:Journ. Math. Phys.,9, 1241 (1968).

    Article  ADS  Google Scholar 

  9. I. Miodek; «1ST-solvable » nonlinear evolution equations and existence, to be published inJourn. Math. Phys.

  10. R. M. Miura:Journ. Math. Phys.,9, 1202 (1968).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. M. Jaulent andI. Miodek: in preparation.

  12. Doklady Akad. Nauk S.S.S.R.,94, 987 (1953);97, 21(1954);105, 433(1955);111, 1167 (1956). See also sect. 11 of the paper hyL. D. Faddeev:Journ. Math. Phys.,4, 72 (1963).

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This work has heen done as part o( the program « Recherche Cooperative sur Programme No. 264: Etude interdisciplinaire des problèmes inverses ».

Physique Mathématique et théorique, Equipe de recherche associée au CNRS No. 154.

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Jaulent, M., Miodek, I. Connection between Zakharov-Shabat and Schrödinger-type inverse-scattering transforms. Lett. Nuovo Cimento 20, 655–660 (1977). https://doi.org/10.1007/BF02745257

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