Blar i forfatter "Berjawi, S."

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    • Second-Order PDEs in 3D with Einstein–Weyl Conformal Structure 

      Berjawi, S.; Ferapontov, E.V.; Kruglikov, Boris; Novikov, V.S. (Journal article; Tidsskriftartikkel; Peer reviewed, 2021-12-07)
      Einstein–Weyl geometry is a triple (D,g,ω) where D is a symmetric connection, [g] is a conformal structure and ω is a covector such that ∙ connection D preserves the conformal class [g], that is, Dg=ωg; ∙ trace-free part of the symmetrised Ricci tensor of D vanishes. Three-dimensional Einstein–Weyl structures naturally arise on solutions of second-order dispersionless integrable PDEs in 3D. In this ...

    • Second-order PDEs in four dimensions with half-flat conformal structure 

      Berjawi, S.; Ferapontov, Eugene V.; Kruglikov, Boris; Novikov, Vladimir S (Journal article; Tidsskriftartikkel; Peer reviewed, 2020-01-29)
      We study second-order partial differential equations (PDEs) in four dimensions for which the conformal structure defined by the characteristic variety of the equation is half-flat (self-dual or anti-self-dual) on every solution. We prove that this requirement implies the Monge–Ampère property. Since half-flatness of the conformal structure is equivalent to the existence of a non-trivial dispersionless ...