• ON IMMERSION FORMULAS FOR SOLITON SURFACES 

      Autor: Grundland Michel, Alfred; Levi , Decio; Martina , Luigi
      (České vysoké učení technické v PrazeCzech Technical University in Prague, 2016)
      This paper is devoted to a study of the connections between three different analytic descriptions for the immersion functions of 2D-surfaces corresponding to the following three types of symmetries: gauge symmetries of the ...
    • ON PARTIAL DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH SYMMETRIES DEPENDING ON ARBITRARY FUNCTIONS 

      Autor: Gubbiotti , Giorgio; Levi , Decio; Scimiterna , Christian
      (České vysoké učení technické v PrazeCzech Technical University in Prague, 2016)
      In this note we present some ideas on when Lie symmetries, both point and generalized, can depend on arbitrary functions. We show a few examples, both in partial differential and partial difference equations where this ...
    • ON THE CONSTRUCTION OF PARTIAL DIFFERENCE SCHEMES II: DISCRETE VARIABLES AND SCHWARZIAN LATTICES 

      Autor: Levi , Decio; Rodriguez A., Miguel
      (České vysoké učení technické v PrazeCzech Technical University in Prague, 2016)
      In the process of constructing invariant difference schemes which approximate partial differential equations we write down a procedure for discretizing a partial differential equation on an arbitrary lattice. An open problem ...