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On some “Schwarzian” Equations and their Discrete Analogues

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Algebraic Aspects of Integrable Systems

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 26))

Abstract

Some integrable discrete analogues of the Schwarzian KdV (Krichever-Novikov) equation and of other Möbius-invariant equations, are discussed together with their Miura chains relating them to associated equations like the lattice KdV and lattice modified KdV equation. Furthermore, the similarity solutions of such lattice equations are considered, as well as reductions to discrete Painlevé equations.

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Authors and Affiliations

  1. Department of Applied Mathematical Studies, The University of Leeds, Leeds, LS2 9JT, UK

    Frank Nijhoff

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  1. Frank Nijhoff
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Editors and Affiliations

  1. Department of Mathematics, Imperial College, SW7 2BZ, London, UK

    A. S. Fokas

  2. Department of Mathematics, Rutgers University, 08903, New Brunswick, NJ, USA

    I. M. Gelfand

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In remembrance of my dear friend Irene Dorfman

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© 1997 Birkhäuser Boston

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Nijhoff, F. (1997). On some “Schwarzian” Equations and their Discrete Analogues. In: Fokas, A.S., Gelfand, I.M. (eds) Algebraic Aspects of Integrable Systems. Progress in Nonlinear Differential Equations and Their Applications, vol 26. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2434-1_12

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  • DOI: https://doi.org/10.1007/978-1-4612-2434-1_12

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-7535-0

  • Online ISBN: 978-1-4612-2434-1

  • eBook Packages: Springer Book Archive

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