About a higher-order water wave model: further theory

This talk is about a class of higher-order models for the unidirectional propagation of small amplitude long waves on the surface of an ideal fluid. These models are particularly interesting because certain specializations possess a helpful Hamiltonian structure. The present contribution brings forth new theory for the initial-value problem for these evolution equations. This is a work in common with Hongqiu Chen (University of Memphis) and Jerry Bona (University of Illinois at Chicago).

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