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

Details Higher-order nonlinear modes and bifurcation phenomena due to degenerate parametric four-wave mixing Higher-order nonlinear modes and bifurcation phenomena due to degenerate parametric four-wave mixing

2000-04-30

arxiv.org/abs/nlin/0005004v1

Nonlinear Sciences

Pattern Formation and Solitons

9 pages, 17 figures, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.62.4309

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.

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