Abstract
We study the dynamic behaviors of mixed localized solutions for the three-component coupled Fokas–Lenells (FL) system. First, the corresponding Lax pair and the generalized (n, M)-fold Darboux transformation are constructed. Second, the first- and second-order mixed localized solutions of the three-component FL system are given and their dynamic features are investigated. These results further reveal the interesting dynamic behaviors of the higher-order mixed localized solutions in the multi-component coupled FL system. At last, the corresponding modulation instability is studied.
| Original language | English |
|---|---|
| Pages (from-to) | 1781-1794 |
| Number of pages | 14 |
| Journal | Nonlinear Dynamics |
| Volume | 98 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Nov 2019 |
Keywords
- Darboux transformation
- Mixed localized solutions
- The three-component Fokas–Lenells system