Invariant analysis and conservation laws for the time fractional \((2+1)\)-dimensional Zakharov-Kuznetsov modified equal width equation using Lie group analysis
From MaRDI portal
Publication:2202984
DOI10.1016/j.camwa.2018.08.008zbMath1442.35013OpenAlexW2889401197WikidataQ114851924 ScholiaQ114851924MaRDI QIDQ2202984
Publication date: 1 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.08.008
Lie symmetry analysisErdélyi-Kober operatornew conservation lawstime fractional \((2+1)\)-dimensional Zakharov-Kuznetsov modified equal width equation
KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30)
Related Items (8)
Oblique explicit wave solutions of the fractional biological population (BP) and equal width (EW) models ⋮ Group classifications, optimal systems, symmetry reductions and conservation law of the generalized fractional porous medium equation ⋮ Lie symmetries reduction and spectral methods on the fractional two-dimensional heat equation ⋮ Fundamental solutions and conservation laws for conformable time fractional partial differential equation ⋮ On group analysis of the time fractional extended \((2+1)\)-dimensional Zakharov-Kuznetsov equation in quantum magneto-plasmas ⋮ Time fractional (2+1)-dimensional Wu-Zhang system: dispersion analysis, similarity reductions, conservation laws, and exact solutions ⋮ Lie symmetry reductions, power series solutions and conservation laws of the coupled Gerdjikov-Ivanov equation using optimal system of Lie subalgebra ⋮ Lie symmetry analysis of (2+1)-dimensional KdV equations with variable coefficients
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lie symmetry analysis of the time fractional KdV-type equation
- Stability analysis for Zakharov-Kuznetsov equation of weakly nonlinear ion-acoustic waves in a plasma
- Lie symmetry reductions and exact solutions of a coupled KdV-Burgers equation
- Exact solutions of the \((2+1)\)-dimensional Zakharov-Kuznetsov modified equal width equation using Lie group analysis
- Nonlinear self-adjointness, conservation laws and exact solutions of time-fractional Kompaneets equations
- Conservation laws for time-fractional subdiffusion and diffusion-wave equations
- Time-fractional KdV equation: Formulation and solution using variational methods
- A new conservation theorem
- 1-soliton solution of the generalized Zakharov-Kuznetsov modified equal width equation
- Describing function based methods for predicting chaos in a class of fractional order differential equations
- On the conservation laws and invariant solutions of the mKdV equation
- Fractals and fractional calculus in continuum mechanics
- Application of fractional derivatives to the analysis of damped vibrations of viscoelastic single mass systems
- Solitary wave interactions for the modified equal width equation
- On conservation laws by Lie symmetry analysis for (2+1)-dimensional Bogoyavlensky-Konopelchenko equation in wave propagation
- Invariant analysis and conservation laws of \((2+1)\) dimensional time-fractional ZK-BBM equation in gravity water waves
- Symmetries and exact solutions of the time fractional Harry-Dym equation with Riemann-Liouville derivative
- Exact solutions and conservation laws of Zakharov-Kuznetsov modified equal width equation with power law nonlinearity
- Lie symmetry analysis and exact solutions of \((3+1)\) dimensional Yu-Toda-Sasa-Fukuyama equation in mathematical physics
- Lie symmetries and conservation laws for the time fractional Derrida-Lebowitz-Speer-Spohn equation
- New exact solutions for the ZK-MEW equation by using symbolic computation
- On similarity solutions of Zabolotskaya-Khokhlov equation
- Lie symmetry analysis to the time fractional generalized fifth-order KdV equation
- The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants
- Fractional diffusion and wave equations
- Nonlinear Partial Differential Equations for Scientists and Engineers
- Analytical Solution of a Dynamic System Containing Fractional Derivative of Order One-Half by Adomian Decomposition Method
- The fractional diffusion equation
- Generalized viscoelastic models: their fractional equations with solutions
- On fractional calculus and fractional multipoles in electromagnetism
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- Lie symmetry analysis, conservation laws and explicit solutions for the time fractional Rosenau-Haynam equation
- Exact solutions for the ZK-MEW equation by using the tanh and sine–cosine methods
- Symmetries and differential equations
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: Invariant analysis and conservation laws for the time fractional \((2+1)\)-dimensional Zakharov-Kuznetsov modified equal width equation using Lie group analysis
