Browsing Pure & Applied Mathematics (Scholarly Publications) by Author "IVANOV, ROSSEN"
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Generalised Fourier transform for the CamassaHolm hierarchy
IVANOV, ROSSEN (Institute of Physics, 2007)The squared eigenfunctions of the spectral problem associated to the CamassaHolm equation represent a complete basis of functions, which helps to describe the Inverse Scattering Transform for the CamassaHolm hierarchy ... 
Krylov subspaces from bilinear representations of nonlinear systems
IVANOV, ROSSEN (Emerald, 2007)For efficient simulation of stateoftheart dynamical systems as arise in all aspects of engineering, the development of reducedorder 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), ...