Recent progress on nonlinear properties of parity-time (PT)-symmetric systems is
comprehensively reviewed in this article. PT symmetry started out in non-Hermitian quantum …

Nonlinear classical Hamiltonian lattices exhibit generic solutions—discrete breathers. They
are time-periodic and (typically exponentially) localized in space. The lattices have discrete …

" Partial Differential Equations and Solitary Waves Theory" is a self-contained book divided
into two parts: Part I is a coherent survey bringing together newly developed methods for …

In this paper, a new method, called Exp-function method, is proposed to seek solitary
solutions, periodic solutions and compacton-like solutions of nonlinear differential …

During the past two decades, pseudospectral methods have emerged as successful, and
often superior, alternatives to better known computational procedures, such as finite …

This chapter introduces the basic ideas of P T-symmetric systems. It begins with a brief
discussion of closed (isolated) and open (non-isolated) systems and explains that P T …

" An exceptionally complete overview. There are numerous examples and the emphasis is
on applications to almost all areas of science and engineering. There is truly something for …

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 …

In the third edition the presentation of new topics has been deliberately kept simple for
pedagogical purposes. Chapter 1 was completed by references to the tidal bore and …

Publisher Summary This chapter discusses about a new integrable shallow water equation.
Completely integrable nonlinear partial differential equations arise at various levels of …