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  1. Article

    Open Access

    Convective wave breaking in the KdV equation

    The KdV equation is a model equation for waves at the surface of an inviscid incompressible fluid, and it is well known that the equation describes the evolution of unidirectional waves of small amplitude and ...

    Mats K. Brun, Henrik Kalisch in Analysis and Mathematical Physics (2018)

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    Article

    Preface

    Jerry L. Bona, Lokenath Debnath, Henrik Kalisch… in Analysis and Mathematical Physics (2012)

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    Article

    A dispersive model for undular bores

    In this article, consideration is given to weak bores in free-surface flows. The energy loss in the shallow-water theory for an undular bore is thought to be due to upstream oscillations that carry away the en...

    Alfatih Ali, Henrik Kalisch in Analysis and Mathematical Physics (2012)

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    Chapter and Conference Paper

    The Stability of Solitary Waves of Depression

    We provide a sufficient condition for the orbital stability of negative solitary-wave solutions of the regularized long-wave equation. In particular, it is found that solitary waves with speed

    Nguyet Thanh Nguyen, Henrik Kalisch in Analysis and Mathematical Physics (2009)