Under investigation in this paper is the dynamics of dispersive optical solitons modeled via the Schrödinger–Hirota equation. The modulation instability of solutions is firstly studied in the presence of a small perturbation. With symbolic computation, the one-, two-, and three-soliton solutions are obtained through the Hirota bilinear method. The propagation and interaction of the solitons are simulated, and it is found the collision is elastic and the solitons enjoy the particle-like interaction properties. In the end, the asymptotic behavior is analyzed for the three-soliton solutions.

中文翻译：

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光纤中薛定谔-广田方程的色散光孤子

本文研究的是通过薛定谔-广田方程建模的色散光孤子动力学。首先在存在小扰动的情况下研究解的调制不稳定性。通过符号计算，通过 Hirota 双线性方法获得一、二和三孤子解。模拟了孤子的传播和相互作用，发现碰撞是弹性的，孤子具有类粒子的相互作用特性。最后，分析了三孤子解的渐近行为。