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  • Generalised Fourier transform for the Camassa-Holm hierarchy 

    IVANOV, ROSSEN (Institute of Physics, 2007)
    The squared eigenfunctions of the spectral problem associated to the Camassa-Holm equation represent a complete basis of functions, which helps to describe the Inverse Scattering Transform for the Camassa-Holm hierarchy ...
  • Krylov subspaces from bilinear representations of nonlinear systems 

    IVANOV, ROSSEN (Emerald, 2007)
    For efficient simulation of state-of-the-art dynamical systems as arise in all aspects of engineering, the development of reduced-order models is of paramount importance. While linear reduction techniques have received ...
  • Water waves and Integrability 

    IVANOV, ROSSEN (Royal Society, 2007)
    The Euler?s equations describe the motion of inviscid fluid. In the case of shallow water, when a perturbative asymtotic expansion of the Euler?s equations is taken (to a certain order of smallness of the scale parameters), ...