Solitary wave solutions to the Isobe‐Kakinuma model for water waves
Solitary wave solutions to the Isobe‐Kakinuma model for water waves
复制标题
水波 Isobe-Kakinuma 模型的孤立波解
DOI：
10.1111/sapm.12310
复制
发表时间：
2020
影响因子：
2.7
通讯作者：
Colin Mathieu and Iguchi Tatsuo
中科院分区：
文献类型：
--
作者：
Kaneda Fumihiro;Suzuki Hirofumi;Shimizu Ryosuke;Edamatsu Keiichi;Colin Mathieu and Iguchi Tatsuo
我们考虑平底情况下二维水波的Isobe-Kakinuma模型。Isobe-Kakinuma模型是一个欧拉-拉格朗日方程系统，其拉格朗日量近似于水波的卢克拉格朗日量。我们从理论上证明了Isobe-Kakinuma模型在长波区存在一族小振幅孤立波解。对大振幅孤立波解进行了数值分析，并指出存在一个具有尖峰的极端形式的孤立波。
We consider the Isobe‐Kakinuma model for two‐dimensional water waves in the case of a flat bottom. The Isobe‐Kakinuma model is a system of Euler‐Lagrange equations for a Lagrangian approximating Luke's Lagrangian for water waves. We show theoretically the existence of a family of small amplitude solitary wave solutions to the Isobe‐Kakinuma model in the long wave regime. Numerical analysis for large amplitude solitary wave solutions is also provided and suggests the existence of a solitary wave of extreme form with a sharp crest.