An application of (3+1)-dimensional time-space fractional ZK model to analyze the complex dust acoustic waves

DOI10.1155/2019/2806724zbMath1430.35252OpenAlexW2964461289WikidataQ127407967 ScholiaQ127407967MaRDI QIDQ2331310

Yanyan Li

Publication date: 29 October 2019

Published in: Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/2806724

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Statistical mechanics of plasmas (82D10) Soliton solutions (35C08) Fractional partial differential equations (35R11) PDEs in connection with statistical mechanics (35Q82)

Related Items (8)

Fractional theoretical model for gravity waves and squall line in complex atmospheric motion ⋮ Time-space fractional model for complex cylindrical ion-acoustic waves in ultrarelativistic plasmas ⋮ Diverse acoustic wave propagation to confirmable time–space fractional KP equation arising in dusty plasma ⋮ A new dynamic model of ocean internal solitary waves and the properties of its solutions ⋮ Optimum solutions of fractional order Zakharov-Kuznetsov equations ⋮ Efficient techniques for traveling wave solutions of time-fractional Zakharov-Kuznetsov equation ⋮ Exact traveling wave solutions and bifurcation of a generalized \((3+1)\)-dimensional time-fractional Camassa-Holm-Kadomtsev-Petviashvili equation ⋮ On abundant new solutions of two fractional complex models

Cites Work

• Unnamed Item
• Unnamed Item
• The first integral method for some time fractional differential equations
• 1-soliton solution of the generalized Zakharov-Kuznetsov equation with nonlinear dispersion and time-dependent coefficients
• Exact solutions to Euler equation and Navier-Stokes equation
• \(3+1\) dimensional envelop waves and its stability in magnetized dusty plasma
• The effect of dust size distribution for two ion temperature dusty plasmas
• The Kadomtsev-Petviashvili (KP) equation of dust acoustic waves for hot dust plasmas
• ZK-Burgers equation for three-dimensional Rossby solitary waves and its solutions as well as chirp effect
• The first integral method for the time fractional Kaup-Boussinesq system with time dependent coefficient
• Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
• Dynamics of a nonautonomous stochastic SIS epidemic model with double epidemic hypothesis
• Combined ZK-mzk equation for Rossby solitary waves with complete Coriolis force and its conservation laws as well as exact solutions
• Time-space fractional \((2+1)\) dimensional nonlinear Schrödinger equation for envelope gravity waves in baroclinic atmosphere and conservation laws as well as exact solutions
• Positive solutions of fractional differential equations involving the Riemann-Stieltjes integral boundary condition
• Symmetry analysis for three-dimensional dissipation Rossby waves
• Analytical research of (\(3+1\))-dimensional Rossby waves with dissipation effect in cylindrical coordinate based on Lie symmetry approach
• New uniqueness results for fractional differential equation with dependence on the first order derivative
• The effects of the singular lines on the traveling wave solutions of modified dispersive water wave equations
• Study of ion-acoustic solitary waves in a magnetized plasma using the three-dimensional time-space fractional Schamel-KdV equation
• \((2+1)\) dimensional nonlinear waves in a two-ion-temperature warm dusty plasma considering the dust size distribution
• The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics
• A new ZK-ILW equation for algebraic gravity solitary waves in finite depth stratified atmosphere and the research of squall lines formation mechanism
• Global analysis and numerical simulations of a novel stochastic eco-epidemiological model with time delay
• Multiplicity for fractional differential equations with \(p\)-Laplacian
• Analysis of Lie symmetries with conservation laws and solutions for the generalized (3 + 1)-dimensional time fractional Camassa-Holm-Kadomtsev-Petviashvili equation
• Time-fractional Benjamin-Ono equation for algebraic gravity solitary waves in baroclinic atmosphere and exact multi-soliton solution as well as interaction
• Multiplicity results to a conformable fractional differential equations involving integral boundary condition
• \((2+1)\) dimensional Rossby waves with complete Coriolis force and its solution by homotopy perturbation method
• Fractional-order Legendre-collocation method for solving fractional initial value problems
• Time-fractional diffusion equation for signal smoothing
• Time-fractional generalized Boussinesq equation for Rossby solitary waves with dissipation effect in stratified fluid and conservation laws as well as exact solutions
• Extended trial equation method to generalized nonlinear partial differential equations
• Combined sinh-cosh-Gordon equation: Symmetry reductions, exact solutions and conservation laws
• Complexiton solutions to soliton equations by the Hirota method
• ( G ′/ G )-Expansion Method for Solving Fractional Partial Differential Equations in the Theory of Mathematical Physics
• The time-fractional mZK equation for gravity solitary waves and solutions using sech-tanh and radial basis function method
• Modeling and analysis of fractional neutral disturbance waves in arterial vessels
• EXACT SOLUTIONS FOR A DIRAC-TYPE EQUATION WITH N-FOLD DARBOUX TRANSFORMATION

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