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Inverse Scattering Problems for Nonlinear Applications

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Nonlinear Equations in Physics and Mathematics

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 40))

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Abstract

This lecture contains a unified review of the methods of solution of inverse scattering problems, in view of applications to nonlinear evolution equations.

Lecture given at the NATO Advanced Study Institute onNonlinear Equations in Physics and Mathematics, Istanbul, August 1977.

Physique Mathématique et Théorique, Equipe de Recherches associée au C.N.R.S. This work has been done as part of the program “Recherche Cooperative sur Programme no 264: Etude interdisciplinaire des problèmes inverses.”

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References

  1. K. Chadan and P. C. Sabatier, Inverse Problems in Quantum Scattering Theory, Springer Verlag, Ed. 1977.

    MATH  Google Scholar 

  2. M.J. Ablowitz, D. J. Kaup, A. C. Newell, and H. Segur, The Inverse Scattering Transform Fourier Analysis for Non-linear Problems, Stud. Appl. Math. L III, 4, 249–315 (1974).

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  3. P. D. Lax, Invariant Functionals of Nonlinear Equations of Evolution, in Nonlinear Waves, edited by S. Leibovich and A. R. Seebass, Cornell University Press, 1974.

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  4. F. Calogero and A. Degasperis, Lectures given in the Proceedings of Istanbul Summer Seminar on Nonlinear Equations.

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  5. M. Jaulent, Lecture given in the Istanbul Summer Seminar on Nonlinear Equations.

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Author information

Authors and Affiliations

  1. Département de Physique Mathématique, Université des Sciences et Techniques du Languedoc, 34060, Montpellier-Cedex, France

    P. C. Sabatier

Authors
  1. P. C. Sabatier
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Editor information

Editors and Affiliations

  1. Department of Physics, University of Colorado, Boulder, Colo., USA

    A. O. Barut

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© 1978 D. Reidel Publishing Company, Dordrecht, Holland

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Sabatier, P.C. (1978). Inverse Scattering Problems for Nonlinear Applications. In: Barut, A.O. (eds) Nonlinear Equations in Physics and Mathematics. NATO Advanced Study Institutes Series, vol 40. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9891-9_2

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  • DOI: https://doi.org/10.1007/978-94-009-9891-9_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-9893-3

  • Online ISBN: 978-94-009-9891-9

  • eBook Packages: Springer Book Archive

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