Перегляд за автором "Calogero, F."

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  • A New Class of Solvable Many-Body Problems 
    Calogero, F.; Yi, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A new class of solvable N-body problems is identified. They describe N unit-mass point particles whose time-evolution, generally taking place in the complex plane, is characterized by Newtonian equations of motion ''of ...
  • Another New Solvable Many-Body Model of Goldfish Type 
    Calogero, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A new solvable many-body problem is identified. It is characterized by nonlinear Newtonian equations of motion (''acceleration equal force'') featuring one-body and two-body velocity-dependent forces ''of goldfish type'' ...
  • Discrete-Time Goldfishing 
    Calogero, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The original continuous-time ''goldfish'' dynamical system is characterized by two neat formulas, the first of which provides the N Newtonian equations of motion of this dynamical system, while the second provides the ...
  • Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces 
    Bihun, O.; Calogero, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    The class of solvable many-body problems ''of goldfish type'' is extended by including (the additional presence of) three-body forces. The solvable N-body problems thereby identified are characterized by Newtonian equations ...
  • Solvable nonlinear evolution PDEs in multidimensional space 
    Calogero, F.; Sommacal, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    A class of solvable (systems of) nonlinear evolution PDEs in multidimensional space is discussed. We focus on a rotation-invariant system of PDEs of Schrödinger type and on a relativistically-invariant system of PDEs of ...