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Coupled Systems of Nonlinear, Dispersive Systems

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HYD2 - Dispersive hydrodynamics: mathematics, simulation and experiments, with applications in nonlinear waves

The discussion will focus on a class of coupled systems of KdV/BBM type.   First examined are the question of solitary-wave solutions.  Derived are  descriptions of such waves as well as criteria for their stability.  Numerical simulations help fill in the overall picture, which can be quite different from single equations of KdV/BBM type.  The lecture will conclude with a  particular system that has some interesting mathematical implications for the KdV equation itself.    This is joint work with H. Chen, O. Karakashian and F. Weissler

This talk is part of the Isaac Newton Institute Seminar Series series.

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