We study the long time asymptotic behavior for the Cauchy problem of the modified
Camassa-Holm (mCH) equation in the solitonic regions m t+(m (u 2− ux 2)) x+ κ ux= 0, m …

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 …

It is complicated to analyze many events taking place in nature. Idealization which can be
defined as neglecting the nonlinear parts of the event can be used to facilitate a …

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

In this paper, we prove well-posedness of the Fornberg–Whitham equation in Besov spaces
B 2, rs in both the periodic and non-periodic cases. This will imply the existence and …

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 …

This article is concerned with the isospectral problem− f ″+ 1 4 f= z ω f+ z 2 υ f for the
periodic conservative Camassa–Holm flow, where ω is a periodic real distribution in H loc …

In this paper we are concerned with the spectral problem (y 1 y 2) x=(− 1 2 1 2 λ m− 1 2 λ m
1 2)(y 1 y 2) for the periodic generalized Camassa-Holm equations. The first aim is to study …

The Inverse Spectral Problem for Periodic Conservative Multi-peakon Solutions of the
Camassa–Holm Equation Page 1 J. Eckhardt and A. Kostenko (2020) “The Inverse Spectral …