Normal form for transverse instability of the line soliton with a nearly critical speed of propagation

DOI10.1051/MMNP/2018024zbMath1405.35187arXiv1706.00064OpenAlexW2963220243WikidataQ129621429 ScholiaQ129621429MaRDI QIDQ4615577

Dmitry E. Pelinovsky

Publication date: 29 January 2019

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.00064

zbMATH Keywords

normal formtransverse instabilityZakharov-Kuznetsov equationline soliton

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (2)

Numerical study of the transverse stability of line solitons of the Zakharov-Kuznetsov equations ⋮ Center stable manifolds around line solitary waves of the Zakharov-Kuznetsov equation with critical speed

Cites Work

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