학술논문
New revival phenomena for linear integro–differential equations.
Document Type
Article
Source
Subject
*LINEAR equations
*WATER waves
*PARTIAL differential equations
*INTEGRO-differential equations
*BOUNDARY value problems
*DYNAMICAL systems
*EVOLUTION equations
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Language
ISSN
0022-2526
Abstract
We present and analyze a novel manifestation of the revival phenomenon for linear spatially periodic evolution equations , in the concrete case of three nonlocal equations that arise in water wave theory and are defined by convolution kernels. Revival in these cases is manifested in the form of dispersively quantized cusped solutions at rational times. We give an analytic description of this phenomenon, and present illustrative numerical simulations. [ABSTRACT FROM AUTHOR]