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 …

In this paper, we investigate both analytically and numerically the localized multivalued
waveguide channels—the loop solitons—dynamics within a ferrite slab. In the starting point …

Dressing Method for the Degasperis–Procesi Equation - Constantin - 2017 - Studies in
Applied Mathematics - Wiley Online Library Skip to Article Content Skip to Article …

We propose a new approach for calculating multisoliton solutions of the Degasperis–Procesi
equation and its shortwave limit by combining a reciprocal transformation with the Darboux …

In this paper, we study multi-soliton solutions and the Cauchy problem for a two-component
short pulse system. For the multi-soliton solutions, we first derive an N-fold Darboux …

We summarize the results of our recent work on Bäcklund transformations (BTs), particularly
focusing on the relation between BTs and infinitesimal symmetries. We present a BT for an …

In this work, we investigate the dynamics of an uniaxial silica fiber under the viewpoint of
propagation of ultimately ultrashort optical waveguide channels. As a result, we unveil the …

Among the different theoretical models of the open-site-driven DNA-denaturation found in
the literature, very few interests are actually paid to the fundamental unzip** process of …

In this paper, a reciprocal transformation is applied to connect a negative flow of the
Degasperis–Procesi (DP) equation with the Kaup–Kupershmidt (KK) equation. Via Darboux …

In this paper, we delve into the dynamics of a barothropic relaxing medium under pressure
perturbations originating from blast wave explosions in the milieu. Analyzing the problem …