Перегляд за автором "Sakovich, S."

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  • On a 'Mysterious' Case of a Quadratic Hamiltonian 
    Sakovich, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We show that one of the five cases of a quadratic Hamiltonian, which were recently selected by Sokolov and Wolf who used the Kovalevskaya-Lyapunov test, fails to pass the Painlevé test for integrability.
  • On a Whitham-Type Equation 
    Sakovich, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The Hunter-Saxton equation and the Gurevich-Zybin system are considered as two mutually non-equivalent representations of one and the same Whitham-type equation, and all their common solutions are obtained exactly.
  • On Transformations of the Rabelo Equations 
    Sakovich, A.; Sakovich, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study four distinct second-order nonlinear equations of Rabelo which describe pseudospherical surfaces. By transforming these equations to the constant-characteristic form we relate them to some well-studied integrable ...
  • Singularity Analysis and Integrability of a Burgers-Type System of Foursov 
    Sakovich, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We apply the Painlevé test for integrability of partial differential equations to a system of two coupled Burgers-type equations found by Foursov, which was recently shown by Sergyeyev to possess infinitely many commuting ...