Darboux transformation and dark soliton solution for the defocusing Sasa-Satsuma equation

作者：Zhang, Hai-Qiang^*; Hu, Rui; Zhang, Meng-Yue

来源：Applied Mathematics Letters, 2017, 69: 101-105.

DOI：10.1016/j.aml.2017.02.012

• Darboux transformation
• Defocusing Sasa-Satsuma equation
• Dark soliton

In this Letter, the Darboux transformation is first applied to the defocusing Sasa Satsuma equation which describes the propagation dynamics of ultrashort light pulses in the normal dispersion regime of optical fibers. The N-fold iterative transformation is expressed in terms of the determinants. This transformation enables us to construct explicit analytical dark soliton solutions from non-vanishing background. In illustration, the single-dark soliton solution is presented from the once-iterated formula.

• 出版日期2017-7
• 单位上海理工大学