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

AR Champneys, MD Groves, PD Woods

Research output: Working paperWorking paper and Preprints

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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.
Original languageEnglish
Publication statusPublished - 2000

Bibliographical note

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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