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)|
|Number of pages||11|
|Journal||Studies in Applied Mathematics|
|State||Published - Oct 1 1984|
ASJC Scopus subject areas
- Applied Mathematics