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20102023
most citedIsobe-Kakinuma model for water waves as a higher order shallow water approximation

14 citations · 51 across the 12 of their papers we have counts for

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Showing 2019 · math.APShow all

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math.AP2019★ 2 cited

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

Mathieu Colin, Tatsuo Iguchi

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 Lagrangi…

math.AP2019★ 8 cited

A Hamiltonian structure of the Isobe-Kakinuma model for water waves

Vincent Duchêne, Tatsuo Iguchi

We consider the Isobe-Kakinuma model for water waves, which is obtained as the system of Euler-Lagrange equations for a Lagrangian approximating Luke's Lagrangian for water waves.…