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Selected Works of Gregory S. Spradlin
Article
Traveling Waves for the BBM Equation With Viscosity Term
Advances and Applications in Fluid Mechanics (2009)
  • Gregory S. Spradlin, Embry-Riddle Aeronautical University
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Abstract
The Benjamin-Bona-Mahony equation is a popular alternative to the Korteweg-de Vries equation, for modeling unidirectional propagation of long waves in systems that manifest nonlinear and dispersive effects. In this paper, it is shown that when a viscosity term is added to the BBM equation, there exist bounded traveling wave solutions.
Keywords
  • BBM equation,
  • regularized long-wave equation,
  • viscosity,
  • traveling waves
Disciplines
Publication Date
January, 2009
Citation Information
Gregory S. Spradlin. "Traveling Waves for the BBM Equation With Viscosity Term" Advances and Applications in Fluid Mechanics Vol. 5 Iss. 1 (2009) p. 101 - 106 ISSN: 0973-4686
Available at: http://works.bepress.com/greg_spradlin/21/