| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1899595 | Physica D: Nonlinear Phenomena | 2013 | 12 Pages |
Abstract
⺠We examine the stability of periodic traveling waves in the sine-Gordon equation. ⺠We relate the eigenvalue problem of periodic traveling waves to Hill's equation. ⺠We establish the instability of three of the four types of waves that arise.⺠We establish the spectral stability of the remaining type of wave.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Christopher K.R.T. Jones, Robert Marangell, Peter D. Miller, Ramón G. Plaza,