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 …

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 …

We investigate well-posedness in classes of discontinuous functions for the nonlinear and
third order dispersive Degasperis–Procesi equationThis equation can be regarded as a …

In this paper we mainly study the problem of the development of singularities for solutions to
the periodic Degasperis-Procesi equation. Firstly, we show that the first blow-up of strong …

Solitary wave solutions for modified forms of Degasperis–Procesi and Camassa–Holm
equations are developed. Unlike the standard Degasperis–Procesi and Camassa–Holm …

Abstract The Degasperis‐Procesi equation can be derived as a member of a one‐parameter
family of asymptotic shallow‐water approximations to the Euler equations with the same …

In this work, we establish new solitary wave solutions to the modified forms of Degasperis–
Procesi and Camassa–Holm equations. Unlike the standard Degasperis–Procesi and …

With the aid of symbolic computation, a generalized auxiliary equation method is proposed
to construct more general exact solutions to two types of NLPDEs. First, we present new …

It is shown in both the periodic and the non-periodic cases that the data-to-solution map for
the Degasperis-Procesi (DP) equation is not a uniformly continuous map on bounded …

Consider the mCH and mDP equations given by ut− uxxt+ 3u2ux= 2uxuxx+ uuxxx, and ut−
uxxt+ 4u2ux= 3uxuxx+ uuxxx, respectively. A new characteristic of solitary wave solutions …