Alexander Chernyavsky
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Zakharov-Kuznetsov Equation
Whitham modulation theory for the Zakharov--Kuznetsov equation and stability analysis of its periodic traveling wave solutions
We derive the Whitham modulation equations for the Zakharov–Kuznetsov equation via a multiple scales expansion and averaging two conservation laws over one oscillation period of its periodic traveling wave solutions. We then use the Whitham …
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