On travelling waves in two-component systems

30 Jan 2016

A few days ago, with Delia Ionescu-Kruse (IMAR, Bucharest, Romania) we submitted a study of solitary and cnoidal wave solutions in three different two-component systems:

• The classical Green-Naghdi (GN) model
• A new variant of GN equations (proposed by Delia a couple of years age)
• The two-component Camassa-Holm equations

In our study we describe all possible travelling gravity waves which may arise in that systems:

• D. Dutykh, D. Ionescu-Kruse. Travelling wave solutions for some two-component shallow water models, Accepted to J. Diff. Equations, 2016

However, my dear co-author Delia strongly forbade me to share the preprint before it gets accepted to a peer-reviewed Journal. So, please, be patient to see these results.

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