Sasa-Satsuma equation, unstable plane waves and heteroclinic connections

O.C. Wright

Chaos, Solitons & Fractals, 2007, vol. 33, issue 2, 374-387

Abstract: The Sasa-Satsuma equation is an integrable perturbation of the nonlinear Schrödinger 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-Bäcklund 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.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:33:y:2007:i:2:p:374-387

DOI: 10.1016/j.chaos.2006.09.034

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