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The Riemann Problem, Complete Integrability and Arithmetic Applications pp 71–84Cite as

Infinite component two-dimensional completely integrable systems of KdV type

  • 2. Completely Integrable Systems
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Part of the book series: Lecture Notes in Mathematics ((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.

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Authors
  1. D. V. Chudnovsky
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David V. Chudnovsky Gregory V. Chudnovsky

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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

  • eBook Packages: Springer Book Archive

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