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Infinite component two-dimensional completely integrable systems of KdV type

2. Completely Integrable Systems

Part of the Lecture Notes in Mathematics book series (LNM,volume 925)

Abstract

We investigate the infinite-dimensional generalization of the non-linear Schrodinger equation. We consider both non-stationary and stationary subsystems. The close one-to-one connection with the inverse scattering method for the Schrodinger operator with different classes of potentials is established.

Keywords

  • Inverse Scattering
  • Complete Integrability
  • Inverse Scatter Problem
  • Schrodinger Operator
  • Matrix Differential Operator

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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© 1982 Springer-Verlag

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Chudnovsky, D.V. (1982). Infinite component two-dimensional completely integrable systems of KdV type. In: Chudnovsky, D.V., Chudnovsky, G.V. (eds) The Riemann Problem, Complete Integrability and Arithmetic Applications. Lecture Notes in Mathematics, vol 925. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093500

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  • DOI: https://doi.org/10.1007/BFb0093500

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11483-3

  • Online ISBN: 978-3-540-39152-4

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