Symmetries, Symmetry Reductions and Exact Solutions to the Generalized Nonlinear Fractional Wave Equations
DOI10.1088/0253-6102/70/1/14zbMath1451.35254OpenAlexW2883715470WikidataQ129515613 ScholiaQ129515613MaRDI QIDQ3386959
Hanze Liu, Zenggui Wang, Xiang-Peng Xin, Xi-Qiang Liu
Publication date: 12 January 2021
Published in: Communications in Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0253-6102/70/1/14
exact solutionsymmetry reductionfractional differential equationRiemann-Liouville derivativeLie group classificationErdélyi-Kober fractional operator
Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06)
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Cites Work
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- Cauchy's integral formula via the modified Riemann-Liouville derivative for analytic functions of fractional order
- The unified group classification method for the generalized nonlinear wave equation and its partial difference schemes
- Similarity solutions to nonlinear heat conduction and Burgers/Korteweg-deVries fractional equations
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Variational problems with fractional derivatives: invariance conditions and Nöther's theorem
- Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations
- Symmetry reductions and exact solutions of a class of nonlinear heat equations
- Generalized symmetry classifications, integrable properties and exact solutions to the general nonlinear diffusion equations
- Complete Group Classifications and Symmetry Reductions of the Fractional Fifth-Order KdV Types of Equations
- Complete Group Classification and Exact Solutions to the Generalized Short Pulse Equation
- Lie Group Analysis and Invariant Solutions for Nonlinear Time-Fractional Diffusion-Convection Equations*
- Symmetries and differential equations
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