COLIN, Mathieu; HIGUCHI, Tatsuo

doi:10.1111/sapm.12310

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COLIN, Mathieu
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]

HIGUCHI, Tatsuo
Department of Mathematics [KEIO UNIVERSITY]

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Studies in Applied Mathematics. 2020

Wiley-Blackwell

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We consider the Isobe-Kakinuma model for two-dimensional water waves in the case of the 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.< Réduire

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Solitary wave solutions to the Isobe-Kakinuma model for water waves

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