非局域非线性介质中一个耦合系统的精确解

An Exact Solution to One Coupled System in Nonlocal and Nonlinear Media

在光学中研究多维(二维和三维)孤子引起了许多学者的关注,最重要的三维时空孤子时常被称作"光弹".D.Mihalache等证明了非局域非线性介质中一个耦合系统存在稳定三维时空孤子.文章应用试探函数法,借助Maple软件,求得这个系统的时空光孤子解和周期解.结果表明,这个系统存在不同形式的包络孤子解和周期解.

The research of multi-dimensional （two and three dimensional） soliton has attracted great attention in optics, and the most important one in it is three-dimensional spatiotemporal soliton, which is often referred to as ＂ light bullets＂. D. Mihalache et al. demonstrated the existence of stable three-dimensional spatiotemporal solitons for one coupled system in nonlocal nonlinear media. By using trial function method and with the aid of the Maple, spatiotemporal optical soliton solutions and triangular periodic solutions for this system were obtained. The results show that there exists different forms of soliton solutions and periodic solutions for this coupled system.