Table of contents

  1. Front Matter
    PDF
  2. Nonlinear evolution equations solvable by the spectral transform: Some recent results
    F. Calogero
    Pages 1-14
  3. Quantization of completely integrable Hamiltonian systems
    B. Kostant
    Pages 15-15
  4. Reduction technique for matrix nonlinear evolution equations
    A. Degasperis
    Pages 16-34
  5. Similarity solutions of the korteweg-de vries equation, Bäclund transformations and painlevè transcendents
    M. Boiti, F. Pempinelli
    Pages 35-51
  6. Coadjoint structures, solitions, and integrability
    Andrei Iacob, Shlomo Sternberg
    Pages 52-84
  7. Around the classical string problem
    Pierre C. Sabatier
    Pages 85-102
  8. The generalized Riemann-Hilbert problem and the spectral interpretation
    D. V. Chudnovsky
    Pages 103-149
  9. The inverse scattering problem and applications to arithmetics, approximation theory and transcendental numbers
    G. V. Chudnovsky
    Pages 150-198
  10. The soliton theory of strong langmuir turbulence
    D. ter Haar
    Pages 199-211
  11. Geometry of bäcklund transformations
    F. A. E. Pirani
    Pages 212-217
  12. Existence of solutions and scattering theory for the non linear schrödinger equation
    J. Ginibre, G. Velo
    Pages 218-232
  13. A geometrical approach to the nonlinear solvable equations
    F. Magri
    Pages 233-263
  14. Properties of a special function related to self-similar solutions of certain nonlinear wave equations
    M. Leo, R. A. Leo, G. Soliani
    Pages 264-275
  15. Vortex motions and conformal mappings
    Jacob Burbea
    Pages 276-298
  16. Analytical solutions of the sine-gordon equation and their application to josephson tunnel junctions
    Bonaventura Savo
    Pages 299-313
  17. Geometry of the akns — ZS inverse scattering scheme
    R. Sasaki, R. K. Bullough
    Pages 314-337
  18. Fundamental equations of classical and of quantum physics as special cases of a nonlinear equation
    S. N. Bagchi
    Pages 338-362
  19. Noether's theorem and infinities of polynomial conserved densities
    Mark J. McGuinnes
    Pages 363-368

About these proceedings

Keywords

Dynamical system Dynamisches System Equations Evolution Nichtlineare Entwicklungsgleichung dynamical systems

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-09971-9
  • Copyright Information Springer-Verlag 1980
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-09971-0
  • Online ISBN 978-3-540-39197-5
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site