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arxiv: 1602.00576 · v1 · pith:BRL7BJG5new · submitted 2016-02-01 · 🧮 math.AP

Symmetric waves are traveling waves for a shallow water equation for surface waves of moderate amplitude

classification 🧮 math.AP
keywords wavesamplitudeequationmoderateshallowsurfacesymmetrictraveling
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Following a general principle introduced by Ehrnstr\"{o}m et.al. we prove that for an equation modeling the free surface evolution of moderate amplitude waves in shallow water, all symmetric waves are traveling waves.

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