Higher-order nonlinear modes and bifurcation phenomena due to degenerate parameteric four-wave mixing.

K Kolossovski, AV Buryak, VV Steblina, AR Champneys, RA Sammut

Research output: Working paperWorking paper and Preprints

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Abstract

We demonstrate that weak parametric interaction of a fundamental beam with its third harmonic field in Kerr media gives rise to a rich variety of families of non-fundamental (multi-humped) solitary waves. Making a comprehensive comparison between bifurcation phenomena for these families in bulk media and planar waveguides, we discover two novel types of soliton bifurcations and other interesting findings. The later includes (i) multi-humped solitary waves without even or odd symmetry and (ii) multi-humped solitary waves with large separation between their humps which, however, may not be viewed as bound states of several distinct one-humped solitons.
Original languageEnglish
Publication statusPublished - 2000

Bibliographical note

Additional information: Preprint of a paper later published by American Physical Society (2000), Physical Review E, 62(3), pp.4309-4317 Part B, ISSN 1063-651X

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