Evolution of Benjamin-Ono solitons in the presence of weak Zakharov-Kutznetsov lateral dispersion

DOI10.1063/1.2355555zbMath1151.35419OpenAlexW1997134556WikidataQ51925839 ScholiaQ51925839MaRDI QIDQ3531680

Juan C. Latorre, Noel F. Smyth, Carlos A. Vargas, Antonmaria A. Minzoni

Publication date: 3 November 2008

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/77e49c9614a236a5fdb113b28edb9459e49c2d2c

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (14)

On some regularity properties for the dispersive generalized Benjamin-Ono-Zakharov-Kuznetsov equation ⋮ The IVP for the Benjamin-Ono-Zakharov-Kuznetsov equation in low regularity Sobolev spaces ⋮ Two dimensional solitary waves in shear flows ⋮ Sharp constant of an anisotropic Gagliardo-Nirenberg-type inequality and applications ⋮ On special regularity properties of solutions of the Benjamin-Ono-Zakharov-Kuznetsov (BO-ZK) equation ⋮ On the properties in solutions of the Shrira equation ⋮ The IVP for a periodic generalized ZK equation ⋮ Exact Controllability and Stabilization for Linear Dispersive PDE’s on the Two-Dimensional Torus ⋮ Persistence properties for the dispersion generalized BO-ZK equation in weighted anisotropic Sobolev spaces ⋮ The IVP for the Benjamin-Ono-Zakharov-Kuznetsov equation in weighted Sobolev spaces ⋮ Local and global well-posedness results for the Benjamin-Ono-Zakharov-Kuznetsov equation ⋮ Ill-posedness results for the (generalized) Benjamin-Ono-Zakharov-Kuznetsov equation ⋮ Three nontrivial solutions for a nonlinear anisotropic nonlocal equation ⋮ Instability of solitary wave solutions for the generalized BO-ZK equation

Cites Work

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• A numerical and theoretical study of certain nonlinear wave phenomena
• Two‐dimensional Models for Nonlinear Vorticity Waves in Shear Flows
• Transverse instability of solitons propagating on current-carrying metal thin films
• Approximate evolution of lump initial conditions for the Benjamin-Ono equation.

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