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math.AP2016★ 4 cited
Wave breaking in a shallow water model
Vera Mikyoung Hur, Lizheng Tao
We prove wave breaking --- bounded solutions with unbounded derivatives --- in the nonlinear nonlocal equations which combine the dispersion relation of water waves and the nonline…
math.AP2016
Modulational instability in a full-dispersion shallow water model
Vera Mikyoung Hur, Ashish Kumar Pandey
We propose a shallow water model which combines the dispersion relation of water waves and the Boussinesq equations, and which extends the Whitham equation to permit bidirectional…