302 citations · 1k across the 44 of their papers we have counts for
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nlin.SI2016★ 3 cited
Lax Integrability of the Modified Camassa-Holm Equation and the Concept of Peakons
Xiangke Chang, Jacek Szmigielski
In this Letter we propose that for Lax integrable nonlinear partial differential equations the natural concept of weak solutions is implied by the compatibility condition for the r…
math-ph2016★ 7 cited
On isospectral deformations of an inhomogeneous string
Kale Colville, Daniel Gomez, Jacek Szmigielski
In this paper we consider a class of isospectral deformations of the inhomogeneous string boundary value problem. The deformations considered are generalizations of the isospectral…
nlin.SI2016★ 33 cited
Dynamics of interlacing peakons (and shockpeakons) in the Geng-Xue equation
Hans Lundmark, Jacek Szmigielski
We consider multipeakon solutions, and to some extent also multishockpeakon solutions, of a coupled two-component integrable PDE found by Geng and Xue as a generalization of Noviko…