论文标题
随机海洋中的孤子碰撞
Soliton Collision in Random Seas
论文作者
论文摘要
尽管在海洋中反复测量了极端或怪异的波浪，但它们的起源在很大程度上是未知的。不同水波的相互作用被视为其出现的原因之一。考虑深水中非线性波的一种方法是查看非线性schrödinger方程的溶液，该方程在确定极波中起着重要作用。一种特定的解决方案是孤子解决方案。因此，出现了这个问题，非线性波在相互作用或碰撞时如何表现。使用弛豫的伪光谱方案来计算非线性schrödinger方程的溶液，研究了碰撞孤子的行为。因此，考虑了不同的波幅度和碰撞角度。除此之外，还研究了使用Pierson-Moskowitz频谱产生的随机波的初始扰动的影响。
Although extreme or freak waves are repeatedly measured in the oceans, their origin is largely unknown. The interaction of different water waves is seen as one reason for their emergence. One way to consider nonlinear waves in deep water is to look at solutions of the nonlinear Schrödinger equation, which plays an important role in the determination of extreme waves. One specific solution is the soliton solution. Therefore the question arises, how nonlinear waves behave as they interact or collide. Using a relaxation pseudo spectral scheme for the computation of solutions of the nonlinear Schrödinger equation, the behavior of colliding solitons is studied. Thereby, different wave amplitudes and angles of collision are considered. In addition to this, the influence of an initial perturbation by random waves is studied, which is generated using a Pierson-Moskowitz spectrum.
