Dark and antidark solitons for the defocusing coupled Sasa–Satsuma system by the Darboux transformation. (February 2019)

• Record Type: Journal Article
• Authors: Zhang, Hai-Qiang; Chen, Fa
• Is Part Of: Applied mathematics letters. Volume 88(2019)
• Page Start: 237
• Page End: 242
• Publication Date: 2019-02
• Subjects: Soliton -- Darboux transformation -- Defocusing coupled Sasa–Satsuma system; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2018.09.002
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this article, we construct the N -fold Darboux transformation for the defocusing coupled Sasa–Satsuma system which describes the simultaneous propagation of two nonlinear waves in optical fibers with higher order effects. With the non-zero constant background as a seed, we derive the dark and antidark soliton solutions from the once-iterated formula. We find that this coupled system can exhibit the dark–dark, dark–antidark and antidark–dark vector solitons.