The stability of solitary waves
Abstract
The stability of finite amplitude, two-dimensional solitary waves of permanent form in water of uniform depth with respect to two-dimensional infinitesimal disturbances is investigated. It is numerically confirmed that the recent analytical results obtained by Saffman (submitted to J. Fluid Mech.) for the ``superharmonic'' instability of periodic waves hold also in the case of solitary waves.
- Publication:
-
Physics of Fluids
- Pub Date:
- March 1986
- DOI:
- 10.1063/1.865459
- Bibcode:
- 1986PhFl...29..650T
- Keywords:
-
- Flow Stability;
- Korteweg-Devries Equation;
- Solitary Waves;
- Eigenvalues;
- Inviscid Flow;
- Potential Flow;
- Steady State;
- Two Dimensional Flow;
- Physics (General)