SOLITARY WAVE IN WATER OF VARIABLE DEPTH

Equations are derived for two-dimensional long waves of small, but finite, amplitude in water of variable depth, analogous to those derived by Boussinesq for water of constant depth. When the depth is slowly varying compared to the length of the wave, an asymptotic solution of these equations is obtained which describes a slowly varying solitary wave; also differential equations for the slow variations of the parameters describing the solitary wave evolves from a region of uniform depth. For small amplitudes it is found that the wave amplitude varies inversely as the depth.

• Corporate Authors:

  Cambridge University Press

  200 Euston Road
  London NW1,   England 
• Authors:
  • Grimshaw, R
• Publication Date: 1970-7-9

Media Info

• Features: References;
• Pagination: p. 639-56
• Serial:
  • Journal of Fluid Mechanics
  • Volume: 42
  • Issue Number: Pt 3
  • Publisher: Cambridge University Press

Subject/Index Terms

• TRT Terms: Water waves; Wave motion; Waves
• Uncontrolled Terms: Solitary waves
• Old TRIS Terms: Water depth effects
• Subject Areas: Design; Hydraulics and Hydrology; Marine Transportation;

Filing Info

• Accession Number: 00032148
• Record Type: Publication
• Source Agency: Engineering Index
• Files: TRIS
• Created Date: Apr 21 1972 12:00AM