This monograph investigates a wide range of problems where nonlinear wave phenomena play a crucial role, for instance in nonlinear acoustics, fluid dynamics, plasma physics and magnetohydrodynamics. The aim of the book is to deliver a general approach to the investigation of complicated mechanical systems affected by the action of different external forces, taking into account the intrinsic coupling of internal wave fields
Table of Contents
Introduction to wave theory and basic mathematical techniques; nonlinear waves in finite liquid layers; nonlinear acoustic waves in coupled fields; modelling of nonlinear wave propagation and interaction in multimode systems with coupled modes. Supplements: explicit solutions to nonlinear evolution equations.
"The mathematical aspects are clearly presented and the book contains a great number of useful results. The book is ideal for a new graduate student entering the field of non-linear wave theory."
-Mathematical Reviews, Issue 2002