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nlin.SIFeb 15, 2012
16
citations (OpenAlex)
authors
  • Oleg I. Morozov
arXiv abstractPDF
paper

Recursion Operators and Nonlocal Symmetries for Integrable rmdKP and rdDym Equations

arXiv:1202.2308

Abstract

We find direct and inverse recursion operators for integrable cases of the rmdKP and rdDym equations. Also, we study actions of these operators on the contact symmetries and find shadows of nonlocal symmetries of these equations.

References in corpus (6)

  • Looped cotangent Virasoro algebra and non-linear integrable systems in dimension 2+1
  • On the spectral parameter problem
  • On recursion operators and nonlocal symmetries of evolution equations
  • Reducibility of zero curvature representations with application to recursion operators
  • Contact Integrable Extensions of Symmetry Pseudo-Group and Coverings of the r-th Modified Dispersionless Kadomtsev -- Petviashvili Equation
  • Recursions of Symmetry Orbits and Reduction without Reduction

Cited by in corpus (7)

  • A Simple Construction of Recursion Operators for Multidimensional Dispersionless Integrable Systems
  • Coverings over Lax integrable equations and their nonlocal symmetries
  • Nonlocal symmetries of Lax integrable equations: a comparative study
  • Recursion Operators for Multidimensional Integrable PDEs
  • Integrability properties of some symmetry reductions
  • Characteristic integrals in 3D and linear degeneracy
  • Recursion operators in the cotangent covering of the rdDym equation
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