A new solution representation for the BBM equation in a quarter plane and the eventual periodicity

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A new solution representation for the BBM equation in a quarter plane and the eventual periodicity

The initialand boundary-value problem for the Benjamin-Bona-Mahony (BBM) equation is studied in this paper. The goal is to understand the periodic behavior (termed as eventual periodicity) of its solutions corresponding to periodic boundary condition or periodic forcing. To this aim, we derive a new formula representing solutions of this initialand boundary-value problem by inverting the operat...

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ژورنال

عنوان ژورنال: Nonlinearity

سال: 2009

ISSN: 0951-7715,1361-6544

DOI: 10.1088/0951-7715/22/8/009