Initial/Boundary Value Problems for Simultaneous Evolution Equations in Three Dimensions |
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Authors: | A S Fokas & C Rogers |
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Institution: | Imperial College, London,;University of New South Wales |
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Abstract: | A novel procedure recently introduced by the senior author is adapted here for the analysis of initial/boundary value problems for pairs of linear dispersive evolution equations in three dimensions. Such simultaneous equations are shown to arise naturally out of linear representations for 2+1-dimensional nonlinear integrable equations. The method presented emanates from the encoding of such simultaneous equations as the condition that a certain differential 1-form is closed. |
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