manuscripta mathematica

, Volume 28, Issue 1–3, pp 207–217 | Cite as

Lie groups and KdV equations

  • Shiing-shen Chern
  • Chia-kuei Peng


Number Theory Algebraic Geometry Topological Group 
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  1. 1.
    M. Adler and J. Moser, On a class of polynomials connected with the Korteweg-deVries equation, Communications in Math Physics 61, 1–30 (1978)Google Scholar
  2. 2.
    Hsing-Hen Chen, Relation between Bäcklund transformations and inverse scattering problems, Lecture Notes in Math, no. 515, 241–252, Springer 1976Google Scholar
  3. 3.
    M. Crampin, F.A.E. Pirani, D.C. Robinson, The soliton connection, Lett. Math. Phys. 2, 15–19 (1977)Google Scholar
  4. 4.
    C. S. Gardner, J.M. Greene, M.D. Kruskal, R.M. Miura, Korteweg-deVries equation and generalizations VI, Methods for exact solution, Comm. Pure and Appl. Math. 27, 97–133 (1974)Google Scholar

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Shiing-shen Chern
    • 1
    • 2
  • Chia-kuei Peng
    • 1
    • 2
  1. 1.University of CaliforniaBerkeleyUSA
  2. 2.University of Science and Technology of ChinaHofei, AnhweiPeople's Republic of China

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