Integration of multidimensional dispersionless integrable system using the inverse scattering approach : the first strict results

Jeudi 26 novembre 2015 15:45-16:45 - Petr Grinevich - Landau Institute for Theoretical Physics, Lomonosov Moscow State University

Résumé : To date, the technique for integration of soliton systems with non-zero dispersion is well-developed for both one and two spatial variables. In contrary, their dispersionless partners with more that one spatial variable are much less studied. A very interesting approach for treating such systems was suggested in a series of works by Manakov and Santini, but the problem of making this approach sufficiently rigorous (at least at the physical level) turned out to be very difficult. We present the first strict results in this direction : using this approach, we present the solution of the Cauchy problem (assuming the data is sufficiently small) for model system, know as Pavlov equation.

Lieu : Bât 425, salle 113-115

Integration of multidimensional dispersionless integrable system using the inverse scattering approach : the first strict results  Version PDF