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American Mathematical Society Translations--Series 2
Advances in the Mathematical Sciences
1998; 197 pp; hardcover
List Price: US$108
Member Price: US$86.40
Order Code: TRANS2/182
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, Poincaré normal forms, and the inverse scattering method.
Graduate students and research mathematicians interested in the theory of nonlinear waves and its applications.
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