Jacek Szmigielski

Two-peakon dynamics in the Clifford algebra generalization of the Camassa–Holm equation

We study the dynamics of a two-component perturbation of the Camassa–Holm equation arising from a reformulation of the Euler–Bernoulli beam problem, recently extended to a general Clifford algebra setting. We focus on the original case associated with a Clifford algebra with two...