TY - JOUR
T1 - Modulational Stability of Two-Phase Sine-Gordon Wavetrains
AU - Ercolani, Nicholas
AU - Forest, M. Gregory
AU - Mclaughlin, David W.
N1 - Publisher Copyright:
© 2015 Wiley Periodicals, Inc., A Wiley Company.
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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U2 - 10.1002/sapm198471291
DO - 10.1002/sapm198471291
M3 - Article
AN - SCOPUS:84944460827
SN - 0022-2526
VL - 71
SP - 97
EP - 101
JO - Studies in Applied Mathematics
JF - Studies in Applied Mathematics
IS - 2
ER -