101 citations · 139 across the 6 of their papers we have counts for
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nlin.SI2007★ 101 cited
Water Waves and Integrability
Rossen I. Ivanov
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 o…
nlin.SI2007★ 5 cited
The Camassa-Holm equation as a geodesic flow for the right-invariant metric
Adrian Constantin, Rossen I. Ivanov
The fundamental role played by the Lie groups in mechanics, and especially by the dual space of the Lie algebra of the group and the coadjoint action are illustrated through the Ca…
nlin.SI2005★ 24 cited
Conformal Properties and Baecklund Transform for the Associated Camassa-Holm Equation
Rossen I. Ivanov
Integrable equations exhibit interesting conformal properties and can be written in terms of the so-called conformal invariants. The most basic and important example is the KdV equ…