Modulational Stability of Two-Phase Sine-Gordon Wavetrains.
NEW YORK UNIV NY COURANT INST OF MATHEMATICAL SCIENCES
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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.
- Numerical Mathematics
- Radiofrequency Wave Propagation