Summer Grant: Campus-only access
Heteroclinic connections of unstable plane-wave solutions of Hirota's nonlinear wave equation are constructed using an auto-Bäcklund transformation obtained from periodic inverse spectral theory. Unlike the modified nonlinear Schrödinger equation  and the Sasa-Satsuma equation , the heteroclinic connections of the Hirota equation have the same functional form as the corresponding waveforms of the unperturbed cubic nonlinear Schrödinger equation; the perturbation affects only the time flow of the solution.
Wright, Otis C. III, "Hirota Equation, Unstable Plane Waves and Heteroclinic Connections" (2006). Faculty Summer Grants. 5.