BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

The Emergence of Higher Order Dispersion from Periodic Waves Ratliff, Daniel


Following the method of Bridges (2013, PRSA), it is demonstrated how one may derive PDEs with fifth order dispersion from periodic waves (and, in general, relative equilibrium). Many of the coefficients of the emerging nonlinear approximations are directly related to the system's conservation laws, and those of the dispersive terms are tied to a Jordan chain analysis. Examples illustrating how the theory applies will also be discussed.

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