| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1897106 | Physica D: Nonlinear Phenomena | 2011 | 22 Pages |
Abstract
⺠Analytical/numerical solitary wave stability study in viscous St. Venant equations is carried out. ⺠The Melnikov integral instability condition is derived by lending instability “rule of thumb”. ⺠Homoclinic is observed with stable point spectrum and unstable essential spectrum. ⺠A mechanism is proposed by which persistence of unstable solitary waves occurs. ⺠Time evolution supports conclusions, giving possibility of nearby stable periodics.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Blake Barker, Mathew A. Johnson, L. Miguel Rodrigues, Kevin Zumbrun,