This article possesses modulation instability (MI) analysis and new exact wave solutions to
unidirectional Dullin–Gottwald–Holm (DGH) system that describes the prorogation of waves …

We consider a new partial differential equation recently obtained by Degasperis and Procesi
using the method of asymptotic integrability; this equation has a form similar to the Camassa …

This article secures the new exact wave structures to Dullin-Gottwald-Holm (DGH) equation
which is used as a governing model to explain the behaviour of waves in shallow water. The …

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 …

This paper is concerned with several aspects of the existence of global solutions and the
formation of singularities for the Degasperis-Procesi equation on the line. Global strong …

We investigate the following family of evolutionary 1+ 1 PDEs that describes the balance
between convection and stretching for small viscosity in the dynamics of one-dimensional …

Abstract We derive the Camassa–Holm equation (CH) as a shallow water wave equation
with surface tension in an asymptotic expansion that extends one order beyond the …

We establish the local well-posedness for a new integrable equation. We prove that the
equation has strong solutions that blow up in finite time and obtain the precise blow-up …

Featured in the recommended literature list for the International Society of Nonlinear
Mathematical Physics: https://isnmp. de/Book-Reviews-and-Recommendations/See also …

In this paper we study several qualitative properties of the Degasperis–Procesi equation. We
first established the precise blow-up rate and then determine the blow-up set of blow-up …