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Ordinary differential equations of painleve-type and the inverse scattering transform

  • Harvey Segur
Inverse Scattering Theory and Related Topics
Part of the Lecture Notes in Physics book series (LNP, volume 130)

Keywords

Linear Differential Equation Inverse Scattering Nonlinear Evolution Equation Nonlinear Partial Differential Equation Linear Integral Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Footnotes and References

  1. [1]
    M.J. Ablowitz, D.J. Kaup, A.C. Newell, H. Segur: Stud. Appl. Math. 53, 249 (1974)Google Scholar
  2. [2]
    M.J. Ablowitz, A. Ramani, H. Segur: Lett. Nuovo Cimento 23, 333 (1978)Google Scholar
  3. [3]
    M.J. Ablowitz, A. Ramani, H. Segur: “A connection between nonlinear evolution equations and ordinary differential equations of P-type. I”, J. Math. Phys., to be publishedGoogle Scholar
  4. [4]
    M.J. Ablowitz, A. Ramani, H. Segur: “A connection between nonlinear evolution equations and ordinary differential equations of P-type. II”, J. Math. Phys., to be publishedGoogle Scholar
  5. [5]
    M.J. Ablowitz, H. Segur: Phys. Rev. Lett. 38, 1103 (1977)Google Scholar
  6. [6]
    V. Dryuma: Sov. Phys.-JETP Lett. 19, 387 (1974)Google Scholar
  7. [7]
    J. Gardner, J.M. Greene, M.D. Kruskal, R.M. Miura: Phys. Rev. Lett. 19 1095 (1967); Comm. Pure Appl. Math. 27, 97 (1974)Google Scholar
  8. [8]
    E.L. Ince: Ordinary Differential Equations (Dover, New York, 1944)Google Scholar
  9. [91]
    B. Kadomstev, V. Petviashvili: Sov. Phys.-Dokl. 15, 539 (1970)Google Scholar
  10. [10]
    D.J. Kaup, A.C. Newell: J. Math. Phys. 19, 798, (1978)Google Scholar
  11. [11]
    R. M. Miura: J. Math. Phys. 9, 1202, (1968)Google Scholar
  12. [12]
    E. Trubowitz: invited talk at this conference, unpublishedGoogle Scholar
  13. [13]
    M. Wadati: J. Phys. Soc. Japan 32, 1681, (1972)Google Scholar
  14. [14]
    V.E. Zakharov: Sov. Phys.-JETP 65, 219, (1973)Google Scholar
  15. [15]
    V.E. Zakharov, A.B. Shabat: Sov. Phys.-JETP 34, 62 (1972)Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Harvey Segur
    • 1
  1. 1.Aeronautical Research Associates of Princeton, Inc.Princeton

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