The Handbook of Nonlinear Partial Differential Equations is the latest in a series of
acclaimed handbooks by these authors and presents exact solutions of more than 1600 …

This paper is concerned with global existence and blow-up phenomena for an integrable
two-component Camassa–Holm shallow water system. A new global existence result and …

In this contribution we describe the role of several two-component integrable systems in the
classical problem of shallow water waves. The starting point in our derivation is the Euler …

We develop the inverse scattering transform (IST) method for the Degasperis–Procesi
equation. The spectral problem is an Zakharov–Shabat problem with constant boundary …

The modified method of simplest equation is powerful tool for obtaining exact and
approximate solutions of nonlinear PDEs. These solutions are constructed on the basis of …

Global weak solutions for a two-component Camassa–Holm shallow water system Page 1
Journal of Functional Analysis 260 (2011) 1132–1154 www.elsevier.com/locate/jfa Global weak …

In this paper, an efficient hybrid numerical scheme which is based on a joint venture of the q-
homotopy analysis method and Sumudu transform is applied to investigate the time …

This research paper applies the modified Khater method and the generalized Kudryashov
method to the general Degasperis–Procesi (DP) equation, which is used to describe the …

This paper is concerned with global existence and blow-up phenomena for the weakly
dissipative Camassa–Holm equation. A new global existence result and a new blow-up …

The method of simplest equation is powerful tool for obtaining exact and approximate
solutions of nonlinear PDEs. Here we extend the class of equations which can be treated by …