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Eighth Mississippi State - UAB Conference on Differential Equations & Computational Simulations
May 7-9, 2009
Department of Mathematics and Statistics, Mississippi State University
Mississippi State, MS, USA

Organizers
Mississippi State University & University of Alabama - Birmingham

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Solitary waves and periodic solutions to the BBM equation modified by viscosity
by
Harihar Khanal
Embry-Riddle Aeronautical University, Florida
Coauthors: Shardad G. Sajjadi, Stefan C. Mancas

We use a traveling wave reduction or a so-called spatial approximation and a numerical scheme using the spectral method to comprehensively investigate the periodic and solitary wave solutions of the modified Benjamin, Bona and Mahony (BBM) equation to include both dissipative and dispersive effects of viscous boundary layers. Finally, we present some numerical results.

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Date received: March 27, 2009

Copyright © 2009 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxp-84.