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nlin.SIJun 30, 2008
7
citations (OpenAlex)
authors
  • Aristophanes Dimakis
  • Folkert Muller-Hoissen
institutions
  • Max Planck Institute for Dynamics and Self-Organization
  • Max Planck Society
  • University of the Aegean
arXiv abstractPDF
paper

Bidifferential graded algebras and integrable systems

arXiv:0805.4553

Abstract

In the framework of bidifferential graded algebras, we present universal solution generating techniques for a wide class of integrable systems.

14 pages, 2nd version: remark added at the end of section 3, 3rd version: some minor amendments, update of references

References in corpus (9)

  • Anti-self-dual Yang-Mills equations on noncommutative spacetime
  • Quasideterminant solutions of a non-Abelian Toda lattice and kink solutions of a matrix sine-Gordon equation
  • Bi-differential calculi and integrable models
  • With a Cole-Hopf transformation to solutions of the noncommutative KP hierarchy in terms of Wronski matrices
  • Burgers and KP hierarchies: A functional representation approach
  • Bi-differential calculus and the KdV equation
  • Flat bidifferential ideals and semihamiltonian PDEs
  • Non-Noether symmetries in Hamiltonian Dynamical Systems
  • Bicomplexes and Conservation Laws in Non-Abelian Toda Models

Cited by in corpus (1)

  • Darboux transformations for a twisted derivation and quasideterminant solutions to the super KdV equation
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