Mock-integrability and stable solitary vortices

DOI10.1016/j.chaos.2022.112782OpenAlexW4307224231MaRDI QIDQ2679946

Yukito Koike, Kiori Obuse, Nobuyuki Sawado, Kouichi Toda, Atsushi Nakamula, Akihiro Nishie, Yamato Suda

Publication date: 26 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.01985

zbMATH Keywords

solitontwo-dimensional systemJupiter's red-spotKdV dynamicsWilliams-Yamagata-Flierl equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton solutions (35C08)

Cites Work

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• On the relevance of soliton theory to tsunami modelling
• Cylindrical quasi-solitons of the Zakharov-Kuznetsov equation
• Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation
• Analytical and numerical aspects of certain nonlinear evolution equations. III. Numerical, Korteweg-de Vries equation
• Multidimensional localized solitons.
• Dromions and a boundary value problem for the Davey-Stewartson 1 equation
• Multidimensional and dissipative solitons
• Two-dimensional amplitude evolution equations for nonlinear dispersive waves on thin films
• Computational synergetics and mathematical innovation
• Interactions of two-dimensionally localized pulses of the regularized- long-wave equation
• On the numerical study of the KdV equation by the semi-implicit and leap-frog method
• A split-step Fourier method for the complex modified Korteweg-de Vries equation.
• A fourth-order spatial accurate and practically stable compact scheme for the Cahn-Hilliard equation
• Numerical solution of the Korteweg-de Vries (KdV) equation
• High-order finite difference methods for the Helmholtz equation
• Mixed lump-soliton solutions of the \((3+1)\)-dimensional soliton equation
• Numerical study of Zakharov-Kuznetsov equations in two dimensions
• Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system
• Taking into consideration an extended coupled (2+1)-dimensional Burgers system in oceanography, acoustics and hydrodynamics
• Optical waves/modes in a multicomponent inhomogeneous optical fiber via a three-coupled variable-coefficient nonlinear Schrödinger system
• Bilinear auto-Bäcklund transformations and soliton solutions of a \((3+1)\)-dimensional generalized nonlinear evolution equation for the shallow water waves
• A conservative fourth-order stable finite difference scheme for the generalized Rosenau-KdV equation in both 1D and 2D
• The Painlevé test and reducibility to the canonical forms for higher-dimensional soliton equations with variable-coefficients
• Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I
• Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equa\-tions
• Fourth-order finite difference method for solving Burgers' equation
• Multi-Vortex Solutions of a Two-Dimensional Nonlinear Wave Equation
• The Cauchy Problem for the Euler–Poisson System and Derivation of the Zakharov–Kuznetsov Equation
• Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
• Asymptotic expansions for the transmission coefficients of the so-called Davey-Stewartson I system
• Painlevé analysis and reducibility to the canonical form for the generalized Kadomtsev–Petviashvili equation
• Fully discrete galerkin methods for the korteweg-de vries equation
• Nonlinear behavior and turbulence spectra of drift waves and Rossby waves
• The lump solutions and the Bäcklund transformation for the three-dimensional three-wave resonant interaction
• Pseudo-three-dimensional turbulence in magnetized nonuniform plasma
• A numerical and theoretical study of certain nonlinear wave phenomena
• On the soliton solutions of the Davey-Stewartson equation for long waves
• Nonlinear Analysis of Perturbed Rotating Whirlpools in the Ocean and Atmosphere
• On three-dimensional packets of surface waves
• Nonlinear Whirlpools Versus Harmonic Waves in a Rotating Column of Stratified Fluid
• Bilinear forms through the binary Bell polynomials, N solitons and Bäcklund transformations of the Boussinesq–Burgers system for the shallow water waves in a lake or near an ocean beach
• Information-entropic stability bound for compact objects: application to \(Q\)-balls and the Chandrasekhar limit of polytropes