Evolution of two-dimensional lump nanosolitons for the Zakharov-Kuznetsov and electromigration equations
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Publication:3529557
DOI10.1063/1.1877892zbMath1144.37361OpenAlexW2126614372WikidataQ81409605 ScholiaQ81409605MaRDI QIDQ3529557
Luis Mier-y-Teran-Romero, M. C. Jorge, Noel F. Smyth, Gustavo Cruz-Pacheco
Publication date: 14 October 2008
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/bcb8ddc1de30baa92f62355de36f989cec2828b3
Related Items (16)
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 ⋮ A Class of Adaptive Multiresolution Ultra-Weak Discontinuous Galerkin Methods for Some Nonlinear Dispersive Wave Equations ⋮ 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 ⋮ Boundary layer collapses described by the two-dimensional intermediate long-wave equation ⋮ Exact Controllability and Stabilization for Linear Dispersive PDE’s on the Two-Dimensional Torus ⋮ Growth rate of transverse instabilities of solitary pulse solutions to a family of modified Zakharov-Kuznetsov equations ⋮ Solitons in nonintegrable systems ⋮ Evolution of Benjamin-Ono solitons in the presence of weak Zakharov-Kutznetsov lateral dispersion ⋮ 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 ⋮ Instability of solitary wave solutions for the generalized BO-ZK equation ⋮ Existence of solutions for the surface electromigration equation
Cites Work
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- Evolution of lump solutions for the KP equation
- Solitary wave evolution for mKdV equations
- A numerical and theoretical study of certain nonlinear wave phenomena
- Lump Interactions and Collapse in the Modified Zakharov–Kuznetsov Equation
- 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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