Group classification, symmetry reductions and exact solutions of the time-fractional generalized thin film equation with variable coefficients
DOI10.1007/s40314-023-02385-9zbMath1524.35417OpenAlexW4383499545MaRDI QIDQ6172889
Publication date: 20 July 2023
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-023-02385-9
exact solutionsgroup classificationanalytic power series methodtime-fractional generalized thin film equation
Fractional derivatives and integrals (26A33) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Overdetermined systems of PDEs with variable coefficients (35N10)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Group classification of nonlinear time-fractional diffusion equation with a source term
- Symmetry analysis and conservation laws to the space-fractional Prandtl equation
- Lie symmetry analysis, conservation laws and analytical solutions of the time-fractional thin-film equation
- Lie point symmetry analysis of the Harry-Dym type equation with Riemann-Liouville fractional derivative
- Lie symmetry analysis, explicit solutions and conservation laws for the space-time fractional nonlinear evolution equations
- Group classifications, optimal systems, symmetry reductions and conservation law of the generalized fractional porous medium equation
- Lie symmetry analysis, invariant subspace method and q-homotopy analysis method for solving fractional system of single-walled carbon nanotube
- Group classifications, optimal systems and exact solutions to the generalized Thomas equations
- Symmetry classifications and reductions of some classes of \((2+1)\)-nonlinear heat equation
- Complete Group Classifications and Symmetry Reductions of the Fractional Fifth-Order KdV Types of Equations
- Symmetries and Group-Invariant Solutions for Transonic Pressure-Gradient Equations
- Nonnegative Solutions for a Long-Wave Unstable Thin Film Equation with Convection
- Complete Group Classification and Exact Solutions to the Generalized Short Pulse Equation
- Symmetries, Symmetry Reductions and Exact Solutions to the Generalized Nonlinear Fractional Wave Equations
- Preliminary group classification of a class of fourth-order evolution equations
- Long-wave instabilities and saturation in thin film equations
- Capillary instability of thin liquid film on a cylinder
- On the motion of a small viscous droplet that wets a surface
- The lubrication approximation for thin viscous films: the moving contact line with a 'porous media' cut-off of van der Waals interactions
- Group classification of heat conductivity equations with a nonlinear source
- Symmetry structure of multi-dimensional time-fractional partial differential equations
- Lie symmetry analysis, conservation laws and separation variable type solutions of the time-fractional porous medium equation
- Symmetry determination and nonlinearization of a nonlinear time-fractional partial differential equation
- Symmetry analysis and solutions for a family of Cahn-Hilliard equations
- Lie symmetry analysis, optimal system and conservation laws of a new (2+1)-dimensional KdV system
This page was built for publication: Group classification, symmetry reductions and exact solutions of the time-fractional generalized thin film equation with variable coefficients
