School of Physics, Northwest University, 710069, Xi'an, China.
Shaanxi Key Laboratory for Theoretical Physics Frontiers, 710069, Xi'an, China.
Phys Rev E. 2019 Jan;99(1-1):012216. doi: 10.1103/PhysRevE.99.012216.
We study the excitation conditions of antidark solitons and nonrational W-shaped solitons in a nonlinear fiber with both third-order and fourth-order effects. We show that the relative phase can be used to distinguish antidark solitons and nonrational W-shaped solitons. The excitation conditions of these well-known fundamental nonlinear waves (on a continuous-wave background) can be clarified clearly by the relative phase and three previously reported parameters (background frequency, perturbation frequency, and perturbation energy). Moreover, the numerical simulations from the nonideal initial states also support these theoretical results. These results provide an important complement for the studies on relationship between modulation instability and nonlinear wave excitations, and are helpful for controllable nonlinear excitations in experiments.
我们研究了三阶和四阶非线性光纤中反暗孤子和非有理 W 形孤子的激发条件。我们表明，相对相位可用于区分反暗孤子和非有理 W 形孤子。这些著名的基本非线性波（在连续波背景下）的激发条件可以通过相对相位和三个之前报道的参数（背景频率、微扰频率和微扰能量）来清楚地阐明。此外，来自非理想初始状态的数值模拟也支持这些理论结果。这些结果为调制不稳定性与非线性波激发之间的关系研究提供了重要补充，有助于实验中的可控非线性激发。
