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Alan Champneys Mark D. Groves and Patrick D. Woods
Abstract
Two coupled KdV equations, depending upon three dimensionless parameters, are investigated for gap solitary-wave solutions. Normal-form analysis of two degenerate Hamiltonian-Hopf bifurcations captures small-amplitude envelope solitary waves. Agreement occurs with numerical continuation to large amplitude, linking solitary waves, kinks, and a `snaking' transition to infinite periodic cores.
| GZIP copy of the ps paper (1.12MB) |
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