Exact solution of the time fractional variant Boussinesq-Burgers equations.
From MaRDI portal
Publication:2034053
DOI10.21136/AM.2021.0269-19OpenAlexW3137972681MaRDI QIDQ2034053
Hemanta Mandal, B. Bira, Dia Zeidan
Publication date: 18 June 2021
Published in: Applications of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.21136/am.2021.0269-19
Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Generalized solutions to partial differential equations (35D99) Fractional partial differential equations (35R11)
Related Items (6)
Logarithmic Jacobi collocation method for Caputo-Hadamard fractional differential equations ⋮ Combination of discrete technique on graded meshes with barycentric rational interpolation for solving a class of time-dependent partial integro-differential equations with weakly singular kernels ⋮ Study of wave propagation in arterial blood flow under symmetry analysis ⋮ Numerical approaches of the generalized time-fractional Burgers' equation with time-variable coefficients ⋮ A convergent hybrid numerical scheme for a class of nonlinear diffusion equations ⋮ SOLITARY WAVES OF THE VARIANT BOUSSINESQ–BURGERS EQUATION IN A FRACTAL-DIMENSIONAL SPACE
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Exact solutions of a variant Boussinesq system
- On the integrable variant of the Boussinesq system: Painlevé property, rational solutions, a related many-body system, and equivalence with the AKNS hierarchy
- The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method
- On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems
- Scattering of regularized-long-wave solitary waves
- Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations
- A series of travelling wave solutions for two variant Boussinesq equations in shallow water waves
- New explicit and exact travelling wave solutions for a system of variant Boussinesq equations in mathematical physics
- Intermediate processes and critical phenomena: theory, method and progress of fractional operators and their applications to modern mechanics
- Complete Group Classifications and Symmetry Reductions of the Fractional Fifth-Order KdV Types of Equations
- Exact solutions for some time‐fractional evolution equations using Lie group theory
- Kawahara equation and modified Kawahara equation with time dependent coefficients: symmetry analysis and generalized ‐expansion method
- On the characteristic Adomian decomposition method for the Riemann problem
- Mathematical studies of the solution of Burgers' equations by Adomian decomposition method
- Solving nonlinear fractional partial differential equations using the homotopy analysis method
- Weak shock waves and its interaction with characteristic shocks in polyatomic gas
- Similarity solution to fractional nonlinear space-time diffusion-wave equation
This page was built for publication: Exact solution of the time fractional variant Boussinesq-Burgers equations.
