Name: Singular Limits of Dispersive Waves (en Inglés)
Price: 1403.09 MXN
Availability: InStock
Author: Ercolani, N. M. ; Gabitov, I. R. ; Levermore, C. D.
ISBN: 9781461360544

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portada Singular Limits of Dispersive Waves (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Ercolani, N. M. ; Gabitov, I. R. ; Levermore, C. D.

Idioma

Inglés

N° páginas

369

Encuadernación

Tapa Blanda

Dimensiones

25.4 x 17.8 x 2.0 cm

Peso

0.68 kg.

ISBN13

9781461360544

Categorías

Mecánica ondulatoria
Física matemática

Singular Limits of Dispersive Waves (en Inglés)

Ercolani, N. M. ; Gabitov, I. R. ; Levermore, C. D. (Autor) · Springer · Tapa Blanda

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Reseña del libro "Singular Limits of Dispersive Waves (en Inglés)"

The subject, of "Singular Limits of Dispersive vVaves" had its modern origins in the 1960's when Whitham introduced the first systematic approach to the asymptotic analysis of nonlinear wavepackds. Initially developed through a variational principle applied to the modulation of families of traveling wave solutions, he soon realized that an efficient derivation of modulation eq'uations could b(' accomplished by av- eraging local conservation laws. He carried out this analysis for a wide variety of dispersive nonlinear wave equations including the nonlinear Klein Gordon, KdV, and NLS equations. The seminal work of Gardner, Greene, Kruskal and Miura led to the discovery of partial differential equations which are completely integrable through inverse spectral transforms. This provided a larger framework in which to develop modulation theory. In particular, one could consider the local modulation of families of quasiperiodic so- lutions with an arbitrary number ofphases. extending the sillglf' phase traveling waves treated Ly \Vhitham. The first to extend vVhitham's ideas to the mllltiphase setting were Flaschka, Forest and lvIcLaughlin, who derived N-phase modulation equations for the KdV equation. By using geometric techniques from the theory of Riemann surfaces they presented these equations in Riemann invariant form and demonstrated their hyperbolicity.