24 citations · 40 across the 8 of their papers we have counts for
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nlin.SI2019
Camassa-Holm cuspons, solitons and their interactions via the dressing method
Rossen Ivanov, Tony Lyons, Nigel Orr
A dressing method is applied to a matrix Lax pair for the Camassa-Holm equation, thereby allowing for the construction of several global solutions of the system. In particular solu…
nlin.SI2017
A dressing method for soliton solutions of the Camassa-Holm equation
Rossen Ivanov, Tony Lyons, Nigel Orr
The soliton solutions of the Camassa-Holm equation are derived by the implementation of the dressing method. The form of the one and two soliton solutions coincides with the form o…
nlin.SI2012★ 24 cited
Dark solitons of the Qiao's hierarchy
Rossen Ivanov, Tony Lyons
We obtain a class of soliton solutions of the integrable hierarchy which has been put forward in a series of works by Z. Qiao. The soliton solutions are in the class of real functi…