Abstract
Hamiltonian methods are used to obtain a necessary and sufficient condition for the spectral stability of pulse solutions to two coupled nonlinear Klein-Gordon equations. These equations describe the near-threshold dynamics of an elastic rod with circular cross section. The present work completes and extends a recent analysis of the authors' [Phys. D, 182 (2003), pp. 103-124], in which a sufficient condition for the instability of "nonrotating" pulses was found by means of Evans function techniques.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1726-1741 |
| Number of pages | 16 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 36 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2005 |
Keywords
- Elastic filament
- Hamiltonian methods
- Spectral stability
ASJC Scopus subject areas
- Analysis
- Computational Mathematics
- Applied Mathematics
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