| Abstract: |
| In this talk, the dispersive revial phenomenon for two-dimensional linear spatially periodic dispersive evolution equations on a rectangle subject to periodic boundary conditions and discontinuous initial profiles are investigated. We analyze a nonvel revial phenomenon for two-dimensional equations with non-polynomial dispersion relations, in the concrete case of the periodic initial-boundary value problem of the linear Kadomtsev-Petviashvili equation on a square with a step function initial data. Revival in this case exhibits a novel characteristic that there appears radically different qualitative behaviors in x and y directions. We give an analytic description of this dichotomous revial phenomenon, and present illustrative numerical simulations. |
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