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Well-Posedness for the ZK equation in a cylinder and on the background of a KDV soliton

Abstract:

In this talk we will discuss the well-posedness of two Cauchy problems for
the two-dimensional Zakharov-Kuznetsov equation motivated by the study 
of transverse stability properties of the N-soliton of the Korteweg-de  Vries equation.
 
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