The problem of turbulence is one of the central problems in theoretical physics. While the
theory of fully developed turbulence has been widely studied, the theory of wave turbulence …

Completely revised text focuses on use of spectral methods to solve boundary value,
eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational …

Despite remarkable developments in the field, a detailed treatment of non-Kerr law media
has not been published. Introduction to non-Kerr Law Optical Solitons is the first book …

Singular perturbation methods, such as the method of multiple scales and the method of
matched asymptotic expansions, give series in a small parameter ε which are asymptotic but …

Numerical simulations show that a massive real scalar field in a nonlinear theory can form
long-lived oscillating localized states. For a self-interacting scalar on a fixed background …

Starting from the general equations of fluid dynamics that describe the atmosphere, and
using asymptotic methods, we present the derivation of the leading-order equations for …

The basic theory of internal solitary waves is developed, with the main emphasis on
environmental situations, such as the many occurrences of such waves in shallow coastal …

In the present work, we experimentally implement, numerically compute with, and
theoretically analyze a configuration in the form of a single column woodpile periodic …

Strong numerical evidence is presented for the existence of a continuous family of time-
periodic solutions with “weak” spatial localization of the spherically symmetric nonlinear …

We show that a recently-derived model for the propagation of nonlinear waves in the
atmosphere admits undular bores as travelling-wave solutions. These solutions represent …