Lie symmetry analysis to general time-fractional Korteweg-de Vries equations

DOI10.7153/fdc-05-11zbMath1415.35249OpenAlexW2512338345MaRDI QIDQ4626357

Youwei Zhang

Publication date: 27 February 2019

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/fdc-05-11

zbMATH Keywords

Lie symmetry analysisRiemann-Liouville fractional calculusErdélyi-Kober operatorstime-fractional KdVs

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) Fractional partial differential equations (35R11)

Related Items (1)

Exact solutions of nonlinear fractional order partial differential equations via singular manifold method

Cites Work

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• Invariant analysis of time fractional generalized Burgers and Korteweg-de Vries equations
• Similarity solutions to nonlinear heat conduction and Burgers/Korteweg-deVries fractional equations
• Lie symmetry analysis and exact solutions for the extended mKdV equation
• Lie symmetry analysis, optimal systems and exact solutions to the fifth-order KdV types of equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• The generation of radiating waves in a singularly-perturbed Korteweg-de Vries equation
• Application of fractional derivatives to the analysis of damped vibrations of viscoelastic single mass systems
• Symmetry and integration methods for differential equations
• Lie symmetry analysis to the time fractional generalized fifth-order KdV equation
• An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
• Complete Group Classifications and Symmetry Reductions of the Fractional Fifth-Order KdV Types of Equations
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• Group classification and symmetry reduction of three-dimensional nonlinear anomalous diffusion equation

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