Soliton dynamics and scattering

• Autores: Avy Soffer
• Localización: Proceedings oh the International Congress of Mathematicians: Madrid, August 22-30,2006 : invited lectures / coord. por Marta Sanz Solé , Javier Soria de Diego , Juan Luis Varona Malumbres , Joan Verdera , Vol. 3, 2006, ISBN 978-3-03719-022-7, págs. 459-472
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • A survey of results and problems of soliton dynamics in dispersive and hyperbolic nonlinear PDE�s and the related spectral and scattering theory. I focus on the problem of large time behavior of the nonlinear Schrödinger equation, with both solitary and radiative waves appearing in the solution. The equations are nonintegrable in general and in arbitrary dimension.

    I will formulate the main conjectures relevant to soliton dynamics.