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Solitary wave solutions to the Isobe‐Kakinuma model for water waves
Studies in Applied Mathematics ( IF 2.419 ) Pub Date : 2020-05-22 , DOI: 10.1111/sapm.12310
Mathieu Colin; Tatsuo Iguchi

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.
更新日期:2020-05-22

 

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