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• W2065082008 abstract "Integrable equations with second order Lax pair like KdV andCamassa-Holm (CH) exhibit interesting conformal properties and canbe written in terms of the so-called conformal invariants (Schwarzform). These properties for the CH hierarchy are discussed in thiscontribution.  &nbsp The squared eigenfunctions of the spectral problem, associated tothe Camassa-Holm equation represent a complete basis of functions,which helps to describe the Inverse Scattering Transform (IST) forthe Camassa-Holm hierarchy as a Generalised Fourier Transform(GFT). Using GFT we describe explicitly some members of the CHhierarchy, including integrable deformations for the CH equation.Also we show that solutions of some 2+1-dimensionalgeneralizations of CH can be constructed via the IST for the CHhierarchy." @default.
• W2065082008 created "2016-06-24" @default.
• W2065082008 creator A5062110037 @default.
• W2065082008 date "2007-01-01" @default.
• W2065082008 modified "2023-09-26" @default.
• W2065082008 title "Conformal and Geometric Properties of the Camassa-Holm Hierarchy" @default.
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• W2065082008 doi "https://doi.org/10.3934/dcds.2007.19.545" @default.
• W2065082008 hasPublicationYear "2007" @default.
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