We investigate propagation dynamics of cosh- and cosine-Airy beams in Kerr nonlinear media. The cosh-Airy and cosine-Airy beam can be considered as a superposition of two Airy beams with different decay factors and different propagation trajectories, respectively. It is shown that the solitons shedding from cosh-Airy and cosine-Airy beams and their interaction in both in-phase and out-of-phase cases are strongly dependent on the modulation parameter associated with the cosh function. The interaction between two cosine-Airy beams can exhibit attraction or repulsion under proper interval and initial angle condition in both in-phase and out-of-phase cases.

中文翻译：

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Kerr非线性介质中cosh-Airy光束的传播动力学

我们研究了克尔非线性介质中余弦和余弦艾里光束的传播动力学。cosh-Airy和余弦-Airy光束可以被认为是两个具有不同衰减因子和不同传播轨迹的Airy光束的叠加。结果表明，从 cosh-Airy 和余弦-Airy 光束脱落的孤子及其在同相和异相情况下的相互作用强烈依赖于与 cosh 函数相关的调制参数。在适当的间隔和初始角度条件下，两个余弦-艾里光束之间的相互作用在同相和异相情况下都可以表现出吸引或排斥。