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A global characterization of gap solitary-wave solutions to a coupled KdV system

Research output: Working paperWorking paper and Preprints

Original languageEnglish
StatePublished - 2000


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.

Additional information

Additional information: Preprint of a paper later published by Elsevier Science (2000), Physics Letters A, 271(3), pp.178-190, ISSN 0375-9601

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