468 citations · 1.1k across the 16 of their papers we have counts for
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nlin.SI2009
Algebraic Discretization of the Camassa-Holm and Hunter-Saxton Equations
Rossen I. Ivanov
The Camassa-Holm (CH) and Hunter-Saxton (HS) equations have an interpretation as geodesic flow equations on the group of diffeomorphisms, preserving the and right…
nlin.SI2009★ 7 cited
Generalised Fourier Transform and Perturbations to Soliton Equations
Georgi G. Grahovski, Rossen I. Ivanov
A brief survey of the theory of soliton perturbations is presented. The focus is on the usefulness of the so-called Generalised Fourier Transform (GFT). This is a method that invol…
nlin.SI2009
Conformal and geometric properties of the Camassa-Holm hierarchy
Rossen I. Ivanov
Integrable equations with second order Lax pair like KdV and Camassa-Holm (CH) exhibit interesting conformal properties and can be written in terms of the so-called conformal invar…