Accession Number:
ADA125236
Title:
Modulational Stability of Two-Phase Sine-Gordon Wavetrains.
Descriptive Note:
Technical rept.,
Corporate Author:
NEW YORK UNIV NY COURANT INST OF MATHEMATICAL SCIENCES
Personal Author(s):
Report Date:
1982-01-01
Pagination or Media Count:
12.0
Abstract:
The modulational stability of real, two-phase sine-Gordon wavetrains are studied. There are three classes of such waves we find the kink-kink trains are stable, while the breather trains and kink-radiation trains are unstable to modulations. These results continue the investigations of Flaschka, Forest, and McLaughlin for the kdV equation and of Forest and McLaughlin for the sing-Gordon and sine-Gordon equations. In a previous paper the sine-Gordon two-phase modulation theory could only be carried to an intermediate stage. Here we use recent results of Ercolani and Forest to complete this project.
Descriptors:
Subject Categories:
- Numerical Mathematics
- Radiofrequency Wave Propagation