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

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.

Subject Categories:

  • Numerical Mathematics
  • Radiofrequency Wave Propagation

Distribution Statement:

APPROVED FOR PUBLIC RELEASE