Special Session 118: Nonlinear Wave systems: Analysis and Computation

New methods and results for Benjamin-Ono and related equations
Peter D Miller
University of Michigan
USA
Co-Author(s):    Peter D. Miller
Abstract:
We describe some recent results on asymptotic properties of solutions of the Benjamin-Ono equation that have been obtained due to a breakthrough yielding an explicit formula for the solution of the Cauchy problem for this equation. Only a few integrable equations have been proved to have such a formula, which can be regarded as a rare and practically useful compact representation of all the parts of an inverse-scattering transform solution.