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Dispersive shock wave of the KP equation

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HY2W01 - Modulation theory and dispersive shock waves

I start with a brief overview of DSW of the KdV equation, and then propose a problem with a particular initial data for the KP equation. The solution has an interesting 2-dimensional pattern due to the nonlinear interaction of the DSW . I will also give a brief review of the KP solitons as obtained from singular limits of the quasi-periodic solution, which may help to understand the 2-dimensional patterns generated by DSW .

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

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