...
首页> 外文期刊>Fluids >Multiple Soliton Interactions on the Surface of Deep Water
【24h】

Multiple Soliton Interactions on the Surface of Deep Water

机译:深水表面的多个孤子相互作用

获取原文

摘要

The paper presents the long-time dynamics with multiple collisions of breathers in the super compact Zakharov equation for unidirectional deep water waves. Solutions in the form of breathers were found numerically by the Petviashvili method. In the terms of envelope and the assumption of the narrow spectral width the super compact equation turns into the well known exact integrable model—nonlinear Schr?dinger equation, and the breather solution in this case turns into envelope soliton. The results of numerical simulations show that two main scenarios of long-time dynamics occur during numerous collisions of breathers. In the first case, one of the breathers regularly takes a number of particles from the other one at each collision and in the second one a structure resembling the bi-soliton solution of nonlinear Schr?dinger equation arises during the collision. Despite these scenarios, it is shown that after numerous collisions the only one breather having initially a larger number of particles remains.
机译:本文提出了具有多重紧凑型Zakharov方程的多次呼吸碰撞的长期动态,用于单向深水波。通过PETVIASHVILI方法在数值上发现了呼吸形式的解决方案。在包络和窄谱宽度的假设中,超级紧凑方程变成众所周知的精确可积模型 - 非线性SCHR?Dinger方程,并且在这种情况下,呼吸器解决方案变成信封孤子。数值模拟的结果表明,在呼吸呼吸困难的碰撞中发生了两种主要动态的主要情景。在第一情况下,其中一个呼吸者经常从另一个碰撞中的另一个颗粒,并且在碰撞期间产生类似于非线性SCHR的双孤子溶液的结构。尽管有这些情况,但结果表明,众多碰撞后,唯一一个暂时颗粒的呼吸仍然存在。

著录项

获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号