TY - JOUR

T1 - Modulational Stability of Two-Phase Sine-Gordon Wavetrains

AU - Ercolani, Nicholas

AU - Forest, M. Gregory

AU - Mclaughlin, David W.

PY - 1984/10/1

Y1 - 1984/10/1

N2 - 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 sinh-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.

AB - 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 sinh-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.

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M3 - Article

AN - SCOPUS:0021502431

SN - 0022-2526

VL - 71

SP - 91

EP - 101

JO - Studies in Applied Mathematics

JF - Studies in Applied Mathematics

IS - 2

ER -