Trapped solitary-wave interaction is studied under the full Euler equations in the presence of a variable pressure distribution along the free surace. The physical domain is flattened conformally onto a strip and the computations are performed in the canonical domain. Computer simulations display solitary waves that remain trapped in a low pressure region. In terms of confinement we observe that these waves are stable for small perturbations of either their amplitudes or the pressure forcing term. Furthermore multiple solitary waves are considered within the low pressure region without escaping the low pressure region. We identify regimes in which multiple solitary waves remain trapped after several collisions. In particular we display a regime where three solitary waves are trapped and collide several times, before one escapes at a time. The remaining solitary waves stays trapped in the low pressure region.

中文翻译：

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低气压区欧拉方程的俘获孤波相互作用

在沿自由表面存在可变压力分布的情况下，在完整的欧拉方程下研究了被困孤立波相互作用。物理域共形地展平到条带上，并且在规范域中执行计算。计算机模拟显示仍被困在低压区域的孤立波。在限制方面，我们观察到这些波对于振幅或压力强迫项的小扰动是稳定的。此外，在低压区域内考虑多个孤立波而不会逃逸低压区域。我们确定了多个孤立波在多次碰撞后仍被困住的状态。特别是，我们展示了一个机制，其中三个孤立波被困住并多次碰撞，然后一次逃脱。