2015/03/31 by Min Li, Tao Xu, Dexin Meng
Physics and Astronomy · #Degenerate energy levels #Dissipative soliton #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Phase (matter) #Quantum Mechanics and Non-Hermitian Physics #Soliton #Stability (learning theory) #nlin.SI
paper · pdf · doi:10.7566/jpsj.85.124001
published as J. Phys. Soc. Jpn. 85, 124001 (2016) · 18 pages, 9 figures, 1 table
openalex created_date 2016/06/24 · openalex publication_date 2016/11/02 · arxiv created 2016/11/16 · arxiv updated 2016/11/17 · openalex updated_date 2026/08/05
In this paper, via the generalized Darboux transformation, rational soliton solutions are derived for the parity-time-symmetric nonlocal nonlinear Schr"odinger (NLS) model with the defocusing-type nonlinearity. We find that the first-order solution can exhibit the elastic interactions of rational antidark-antidark, dark-antidark, and antidark-dark soliton pairs on a continuous wave background, but there is no phase shift for the interacting solitons. Also, we discuss the degenerate case in which only one rational dark or antidark soliton survives. Moreover, we reveal that the second-order rational solution displays the interactions between two solitons with combined-peak-valley structures in the near-field regions, but each interacting soliton vanishes or evolves into a rational dark or antidark soliton as |z|\ra ∞. In addition, we numerically examine the stability of the first- and second-order rational soliton solutions.