Abstract
We study the instability of pulse solutions of two coupled non-linear Klein-Gordon equations by means of Evans function techniques. The system of coupled Klein-Gordon equations considered here describes the near-threshold dynamics of a three-dimensional elastic rod with circular cross-section, subject to constant twist. We determine a condition on the speed of the traveling pulse which ensures spectral instability.
Original language | English (US) |
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Pages (from-to) | 103-124 |
Number of pages | 22 |
Journal | Physica D: Nonlinear Phenomena |
Volume | 182 |
Issue number | 1-2 |
DOIs | |
State | Published - Aug 1 2003 |
Keywords
- Elastic rod
- Evans function
- Klein-Gordon equations
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics