Document Type
Summer Grant: Campus-only access
Publication Date
2006
Abstract
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 [12] and the Sasa-Satsuma equation [13], 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.
Recommended Citation
Wright, Otis C. III, "Hirota Equation, Unstable Plane Waves and Heteroclinic Connections" (2006). Faculty Summer Grants. 5.
https://digitalcommons.cedarville.edu/summergrants/5
