Abstract
A modulational stability analysis is presented for real, two-phase sine-Gordon wavetrains. Using recent results on the geometry of these real solutions, an invariant representation in terms of Abelian differentials is derived for the sine-Gordon modulation equations. The theory thus attains the same integrable features of the previously completed KdV and sine-Gordon modulations. The twophase results are as follows: kink-kink trains are stable, while the breather trains and kink-radiation trains are unstable, to modulations.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 91-101 |
| Number of pages | 11 |
| Journal | Studies in Applied Mathematics |
| Volume | 71 |
| Issue number | 2 |
| State | Published - Oct 1984 |
| Externally published | Yes |
ASJC Scopus subject areas
- Applied Mathematics