Nonlinear Waves and Weak Turbulence

Download or read book Nonlinear Waves and Weak Turbulence written by Vladimir Evgenʹevich Zakharov and published by American Mathematical Soc.. This book was released on 1998 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers on dynamical and statistical theory of nonlinear wave propagation in dispersive conservative media. Emphasis is on waves on the surface of an ideal fluid and on Rossby waves in the atmosphere. Although the book deals mainly with weakly nonlinear waves, it is more than simply a description of standard perturbation techniques. The goal is to show that the theory of weakly interacting waves is naturally related to such areas of mathematics as Diophantine equations, differential geometry of waves, Poincare normal forms and the inverse scattering method.