Share
Singular Limits of Dispersive Waves (in English)
Ercolani, N. M. ; Gabitov, I. R. ; Levermore, C. D. (Author)
·
Springer
· Paperback
Singular Limits of Dispersive Waves (in English) - Ercolani, N. M. ; Gabitov, I. R. ; Levermore, C. D.
$ 52.09
$ 54.99
You save: $ 2.90
Choose the list to add your product or create one New List
✓ Product added successfully to the Wishlist.
Go to My WishlistsIt will be shipped from our warehouse between
Friday, July 05 and
Monday, July 08.
You will receive it anywhere in United States between 1 and 3 business days after shipment.
Synopsis "Singular Limits of Dispersive Waves (in English)"
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.
- 0% (0)
- 0% (0)
- 0% (0)
- 0% (0)
- 0% (0)
All books in our catalog are Original.
The book is written in English.
The binding of this edition is Paperback.
✓ Producto agregado correctamente al carro, Ir a Pagar.