Asymptotic 𝐾-soliton-like solutions of the Zakharov-Kuznetsov type equations

DOI10.1090/TRAN/8331zbMath1466.35318arXiv2005.08518OpenAlexW3135783072MaRDI QIDQ5857740

Frédéric Valet

Publication date: 7 April 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.08518

zbMATH Keywords

quadratic nonlinearitymulti-soliton solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items (6)

Asymptotic \(N\)-soliton-like solutions of the fractional Korteweg-de Vries equation ⋮ Numerical study of the transverse stability of line solitons of the Zakharov-Kuznetsov equations ⋮ On the uniqueness of multi-breathers of the modified Korteweg-de Vries equation ⋮ Improved uniqueness of multi-breathers of the modified Korteweg-de Vries equation ⋮ On local energy decay for large solutions of the Zakharov-Kuznetsov equation ⋮ Numerical study of soliton stability, resolution and interactions in the 3D Zakharov-Kuznetsov equation

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