Proceedings of a NATO Advanced Research Workshop, and of a Chaos, Order, and Patterns Panel sponsored workshop on title], held in Lyons, France, July 1991. The refereed papers fall into three general areas: Whitham modulation equations and their exact solutions; asymptotics and limits; and existenc
Proceedings of a NATO Advanced Research Workshop, and of a Chaos, Order, and Patterns Panel sponsored workshop on title], held in Lyons, France, July...
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 subject, of "Singular Limits of Dispersive vVaves" had its modern origins in the 1960's when Whitham introduced the first systematic approach to t...