Numerical study of soliton stability, resolution and interactions in the 3D Zakharov-Kuznetsov equation

DOI10.1016/J.PHYSD.2021.132913zbMath1496.65164arXiv2012.15225OpenAlexW3116561496MaRDI QIDQ2077684

Christian Klein, Svetlana Roudenko, Nikola M. Stoilov

Publication date: 21 February 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.15225

zbMATH Keywords

radiationsoliton interactionZakharov-Kuznetsov equationsoliton stabilitysoliton resolution

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Asymptotic behavior of solutions to PDEs (35B40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Perturbations in context of PDEs (35B20) Soliton solutions (35C08)

Related Items (2)

Dynamics of solutions in the generalized Benjamin-Ono equation: a numerical study ⋮ Numerical study of the transverse stability of line solitons of the Zakharov-Kuznetsov equations

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