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 …

We analyze a singularly Kuramoto-Sivashinsky perturbed Camassa-Holm equation with
methods of the geometric singular perturbation theory. Especially, we study the persistence …

In this paper, we present a short proof of the maximization of Dirichlet eigenvalue ratios for
the Camassa–Holm equation y′′= 1 4 y+ λ m (x) y, by solving the infinitely dimensional …

MINIMIZATION OF LOWEST POSITIVE PERIODIC EIGENVALUE FOR CAMASSA-HOLM
EQUATION WITH INDEFINITE POTENTIAL 1. Introduction It is we Page 1 MINIMIZATION OF …

Peaked periodic waves in the Camassa--Holm equation are revisited. Linearized evolution
equations are derived for perturbations to the peaked periodic waves, and linearized …

It is well-known that peakons in the Camassa–Holm equation are H 1-orbitally stable thanks
to conserved quantities and properties of peakons as constrained energy minimizers. By …

The Inverse Spectral Transform for the Conservative Camassa–Holm Flow with Decaying Initial
Data Page 1 Digital Object Identifier (DOI) 10.1007/s00205-016-1066-z Arch. Rational Mech …

Motivated by the study of certain nonlinear wave equations (in particular, the Camassa–
Holm equation), we introduce a new class of generalized indefinite strings associated with …

An important point in looking for period solutions of the Camassa–Holm equation is to
understand the associated spectral problem y ″= 1 4 y+ λ m (t) y. The first aim of this paper …

Motivated by the Novikov equation and its peakon problem, we propose a new mixed type
Hermite–Padé approximation whose unique solution is a sequence of polynomials …