标题： 相互作用波系统中的孤立波演化 显示英文标题

标题： Evolution of Rogue Waves in Interacting Wave Systems

摘要： 深水中的大振幅水波在航海界早已为人所知，并且对于例如石油平台建设来说一直是一个令人关注的问题。 如今，由于卫星和雷达测量技术的发展，这种异常波的概念在科学界已经得到了很好的确立。 对于这类波的理论描述，存在多种重要的模型和方法。 通过分析由两个耦合的非线性薛定谔方程描述的两个相互作用波模型中异常波形成的标度行为，我们发现，在相互作用波方向的临界角 theta_c 以下，存在两种不同的动力学标度行为。在 theta_c 以下的所有波系统都会演化并表现出类似于非相互作用波系统的统计特性。 这些结果同样适用于由非线性薛定谔方程描述的其他系统，在设计光波导时应具有一定的参考价值。 显示英文摘要

摘要： Large amplitude water waves on deep water has long been known in the sea faring community, and the cause of great concern for, e.g., oil platform constructions. The concept of such freak waves is nowadays, thanks to satellite and radar measurements, well established within the scientific community. There are a number of important models and approaches for the theoretical description of such waves. By analyzing the scaling behavior of freak wave formation in a model of two interacting waves, described by two coupled nonlinear Schroedinger equations, we show that there are two different dynamical scaling behaviors above and below a critical angle theta_c of the direction of the interacting waves below theta_c all wave systems evolve and display statistics similar to a wave system of non-interacting waves. The results equally apply to other systems described by the nonlinear Schroedinger equations, and should be of interest when designing optical wave guides.