Summer Grant: Campus-only access
The Sasa-Satsuma equation is an integrable perturbation of the nonlinear Schr ödinger 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 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.
Wright, Otis C. III, "Sasa-Satsuma Equation, Unstable Plane Waves and Heteroclinic Connections" (2006). Faculty Summer Grants. 10.