Journal
CHAOS SOLITONS & FRACTALS
Volume 33, Issue 2, Pages 374-387Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2006.09.034
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The Sasa-Satsuma equation is an integrable perturbation of the nonlinear Schrodinger equation which models the effects of third-order dispersion, self-steepening and stimulated Raman scattering in the propagation of ultra-fast pulses in optical fiber transmission systems. The heteroclinic connections of the unstable plane waves are explicitly constructed using an auto-Backlund transformation obtained from inverse spectral theory. The modulus of the heteroclinic connection can have either a single peak or a double peak, depending on the amplitude of the unstable plane wave, even when only one unstable positive wavenumber is present. (c) 2006 Elsevier Ltd. All rights reserved.
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