Numerical study of soliton stability, resolution and interactions in the 3D Zakharov-Kuznetsov equation
DOI10.1016/J.PHYSD.2021.132913zbMath1496.65164arXiv2012.15225OpenAlexW3116561496MaRDI QIDQ2077684
Christian Klein, Svetlana Roudenko, Nikola M. Stoilov
Publication date: 21 February 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.15225
Numerical computation of solutions to systems of equations (65H10) Asymptotic behavior of solutions to PDEs (35B40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Perturbations in context of PDEs (35B20) Soliton solutions (35C08)
Related Items (2)
Cites Work
- Unnamed Item
- Asymptotic stability of high-dimensional Zakharov-Kuznetsov solitons
- The Fourier restriction norm method for the Zakharov-Kuznetsov equation
- On uniqueness properties of solutions of the Zakharov-Kuznetsov equation
- A note on the 2D generalized Zakharov-Kuznetsov equation: local, global, and scattering results
- Numerical study of blow-up in solutions to generalized Kadomtsev-Petviashvili equations
- Local and global well-posedness for the 2D generalized Zakharov-Kuznetsov equation
- Exponential time differencing for stiff systems
- Fourth order time-stepping for low dispersion Korteweg-de Vries and nonlinear Schrödinger equations
- The Cauchy problem for the 3D Zakharov-Kuznetsov equation
- Stability theory of solitary waves in the presence of symmetry. I
- On special regularity properties of solutions of the Zakharov-Kuznetsov equation
- On the local and global well-posedness theory for the KP-I equation
- A note on the unique continuation property for Zakharov--Kuznetsov equation
- Numerical study of Zakharov-Kuznetsov equations in two dimensions
- On instability of solitons in the 2d cubic Zakharov-Kuznetsov equation
- Global well-posedness for low regularity data in the 2d modified Zakharov-Kuznetsov equation
- Bilinear Strichartz estimates for the Zakharov-Kuznetsov equation and applications
- Numerical study of blow-up and dispersive shocks in solutions to generalized Korteweg-de Vries equations
- The Cauchy Problem for the Euler–Poisson System and Derivation of the Zakharov–Kuznetsov Equation
- Exponential integrators
- Fourth Order Time-Stepping for Kadomtsev–Petviashvili and Davey–Stewartson Equations
- Well-Posedness Results for the Three-Dimensional Zakharov--Kuznetsov Equation
- Well-Posedness for the Two-Dimensional Modified Zakharov–Kuznetsov Equation
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Stability and instability of some nonlinear dispersive solitary waves in higher dimension
- On a class of derivative Nonlinear Schrödinger-type equations in two spatial dimensions
- Instability of Solitons in the 2d Cubic Zakharov-Kuznetsov Equation
- Instability of solitons–revisited, II: The supercritical Zakharov-Kuznetsov equation
- Uniqueness results for Zakharov-Kuznetsov equation
- Asymptotic 𝐾-soliton-like solutions of the Zakharov-Kuznetsov type equations
This page was built for publication: Numerical study of soliton stability, resolution and interactions in the 3D Zakharov-Kuznetsov equation
