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Selected Works of Timothy Smith
Article
On a KP-Type Equation for Dispersive System of Weakly Two-Dimensional Viscous Shallow Water Waves
Advances and Applications in Fluid Dynamics (2011)
  • Shahrdad G. Sajjadi, Embry-Riddle Aeronautical University
  • Tim A. Smith, Embry-Riddle Aeronautical University
  • David L. Ross, Embry-Riddle Aeronautical University
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Abstract
By analogy to the Korteweg-de Vries (KdV) equation and its viscous counterpart, the Sajjadi and Smith (SAS) equation, the problem of classical solutions for the Kadomtsev-Petviashvili (KP) equation, for weakly two-dimensional shallow water waves on viscous liquids is considered. The existence and uniqueness, as well as sufficient conditions of solvability, for the nonlinear KP equation is established and discussed.
Keywords
  • SAS equation,
  • visous liquids,
  • shallow water waves,
  • solitons,
  • partial differential equations,
  • KdV equation,
  • KP equation
Disciplines
Publication Date
July, 2011
Citation Information
Shahrdad G. Sajjadi, Tim A. Smith and David L. Ross. "On a KP-Type Equation for Dispersive System of Weakly Two-Dimensional Viscous Shallow Water Waves" Advances and Applications in Fluid Dynamics Vol. 10 Iss. 1 (2011) p. 69 - 77 ISSN: 0973-4686
Available at: http://works.bepress.com/timothy-smith/9/