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Cotangent Covering

  • Joseph Krasil’shchik
  • Alexander Verbovetsky
  • Raffaele Vitolo
Chapter
Part of the Texts & Monographs in Symbolic Computation book series (TEXTSMONOGR)

Abstract

The cotangent covering of an equation \(\mathcal {E}\) is a natural object to define and compute Hamiltonian operators and recursion operators for cosymmetries of \(\mathcal {E}\). It is a counterpart of the cotangent bundle in the world of differential equations. In this chapter we give the solution to Problem  1.19.

References

  1. 57.
    Kersten, P., Krasilshchik, I., Verbovetsky, A.: Hamiltonian operators and -coverings. J. Geom. Phys. 50, 273–302 (2004)Google Scholar
  2. 61.
    Kersten, P., Krasilshchik, I., Verbovetsky, A.: A geometric study of the dispersionless Boussinesq type equation. Acta Appl. Math. 90, 143–178 (2006)Google Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  • Joseph Krasil’shchik
    • 1
  • Alexander Verbovetsky
    • 2
  • Raffaele Vitolo
    • 3
  1. 1.V.A. Trapeznikov Institute of Control Sciences RASIndependent University of MoscowMoscowRussia
  2. 2.Independent University of MoscowMoscowRussia
  3. 3.Department of Mathematics and Physics ‘E. De Giorgi’University of SalentoLecceItaly

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