Center stable manifolds around line solitary waves of the Zakharov-Kuznetsov equation

DOI10.1007/s10884-023-10329-4zbMath1542.35041MaRDI QIDQ6567183

Yohei Yamazaki

Publication date: 4 July 2024

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

asymptotic stabilitytransverse instabilityZakharov-Kuznetsov equationline solitary wavecenter stable manifolds

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Soliton solutions (35C08)

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