302 citations · 546 across the 10 of their papers we have counts for
12 papers
A view of the peakon world through the lens of approximation theory
Hans Lundmark, Jacek Szmigielski
Peakons (peaked solitons) are particular solutions admitted by certain nonlinear PDEs, most famously the Camassa-Holm shallow water wave equation. These solutions take the form of…
Non-interlacing peakon solutions of the Geng-Xue equation
Budor Shuaib, Hans Lundmark
The aim of the present paper is to derive explicit formulas for arbitrary peakon solutions of the Geng-Xue equation, a two-component generalization of Novikov's cubically nonlinear…
Ghostpeakons and Characteristic Curves for the Camassa-Holm, Degasperis-Procesi and Novikov Equations
Hans Lundmark, Budor Shuaib
We derive explicit formulas for the characteristic curves associated with the multipeakon solutions of the Camassa-Holm, Degasperis-Procesi and Novikov equations. Such a curve trac…
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…
An inverse spectral problem related to the Geng-Xue two-component peakon equation
Hans Lundmark, Jacek Szmigielski
We solve a spectral and an inverse spectral problem arising in the computation of peakon solutions to the two-component PDE derived by Geng and Xue as a generalization of the Novik…
The Canada Day Theorem
Daniel Gomez, Hans Lundmark, Jacek Szmigielski
The Canada Day Theorem is an identity involving sums of minors of an arbitrary symmetric matrix. It was discovered as a by-product of the work on so-calle…