"A KdV-Type Equation for Dispersive System of Shallow Water Waves with Higher Order Dissipation" by Shahrdad G. Sajjadi

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A KdV-Type Equation for Dispersive System of Shallow Water Waves with Higher Order Dissipation

Advances and Applications in Fluid Mechanics (2011)

Shahrdad G. Sajjadi, Embry-Riddle Aeronautical University
Tim A. Smith, Embry-Riddle Aeronautical University

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Abstract

The problem on classical solutions for the BBM equation is considered where an additional term is introduced which represents higher order dissipation. Sufficient conditions of solvability, existence and the like are established.

Keywords

KdV equation,
BBM equation,
shallow water waves

Disciplines

Dynamic Systems and
Partial Differential Equations

Publication Date

April, 2011

Citation Information

Shahrdad G. Sajjadi and Tim A. Smith. "A KdV-Type Equation for Dispersive System of Shallow Water Waves with Higher Order Dissipation" Advances and Applications in Fluid Mechanics Vol. 9 Iss. 2 (2011) p. 139 - 149 ISSN: 0973-4686
Available at: http://works.bepress.com/timothy-smith/10/