Numerical study of soliton stability, resolution and interactions in the 3D Zakharov-Kuznetsov equation
C. Klein,
S. Roudenko,
N. Stoilov
Abstract:We present a detailed numerical study of solutions to the Zakharov-Kuznetsov equation in three spatial dimensions. The equation is a three-dimensional generalization of the Korteweg-de Vries equation, though, not completely integrable. This equation is L 2 -subcritical, and thus, solutions exist globally, for example, in the H 1 energy space.We first study stability of solitons with various perturbations in sizes and symmetry, and show asymptotic stability and formation of radiation, confirming the asymptotic … Show more
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