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What you always wanted to know about the application of inverse problems to nonlinear equations (or what you would like to do with the I.S.T.

  • I. Miodek
Part I: Fifteen Review Lectures on Applied Inverse Problems
Part of the Lecture Notes in Physics book series (LNP, volume 85)

Abstract

The inverse scattering method for solving nonlinear evolution equations is discussed in the framework of lax's approach.

Keywords

Inverse Problem Evolution Equation Inverse Scattering Nonlinear Evolution Equation Point Spectrum 
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References

  1. MAGRI (Franco) (1977) Preprint of Instituto di Matematica del Politecnico, Milana, Italy.Google Scholar
  2. Kumei (Sukeyaki) J.M.P. 18 (Feb. 1977) p. 256.Google Scholar
  3. F.B. ESTABROOK & H.D. WAHLQUIST J.M.P. 16 (Jan. 1975) P. 1; 17(1976) p. 1293.Google Scholar
  4. CORONES (James) J.M.P. 18 (January 1977) p. 163.Google Scholar
  5. H.C. MORRIS J.M.P. 18 (Feb. 1977) p. 285.Google Scholar
  6. ABLOWITZ, KAUP, NEWELL & SEGUR (A.K.N.S.) Studies in App. Math. L III n°4 (1974) p. 249.Google Scholar
  7. P.D. LAX, Comm. on Pure and App. Math. XXI (1968) p.467, XXVIII (1975) p. 141.Google Scholar
  8. I. MIODEK, J.M.P. 19 (January 1978) p 19.Google Scholar

Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • I. Miodek
    • 1
  1. 1.Département de Physique MathématiqueUniversité des Sciences à Techniques du LanguedocMontpellier CédexFrance

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