| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1899916 | Physica D: Nonlinear Phenomena | 2007 | 11 Pages |
Abstract
We consider the stability of solitary waves of a class of 5th order KdV equations. It is known that their stability is determined by the second derivative of a function of the wave speed d(c)d(c). We perform a detailed investigation of the properties of this function, both analytically and numerically. For a class of homogeneous nonlinearities, we precisely determine the regions of wave speeds for which the solitary waves are stable or unstable.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Steve Levandosky,