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