Binary Darboux Transformation for the Sasa-Satsuma Equation
Exactly Solvable and Integrable Systems
2015-12-22 v1
Abstract
The Sasa-Satsuma equation is an integrable higher-order nonlinear Schr\"odinger equation. Higher-order and multicomponent generalisations of the nonlinear Schr\"odinger equation are important in various applications, e.g., in optics. One of these equations is the Sasa-Satsuma equation. We present the binary Darboux transformations for the Sasa-Satsuma equation and then construct its quasigrammians solutions by iterating its binary Darboux transformations. Periodic, one-soliton, two-solitons and breather solutions are given as explicit examples.
Keywords
Cite
@article{arxiv.1502.07371,
title = {Binary Darboux Transformation for the Sasa-Satsuma Equation},
author = {Jonathan J. C. Nimmo and Halis Yilmaz},
journal= {arXiv preprint arXiv:1502.07371},
year = {2015}
}
Comments
18 pages, 5 figures