Nonlinear two-component system of time-fractional PDEs in \((2+1)\)-dimensions: invariant subspace method combined with variable transformation
DOI10.1016/j.cnsns.2024.108123zbMATH Open1547.3574MaRDI QIDQ6591787
K. S. Priyendhu, Muthusamy Lakshmanan, P. V. Prakash
Publication date: 22 August 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
exact solutionsinitial and boundary value problemssystem of nonlinear PDEsLaplace transformation techniquefractional reaction-diffusion systeminvariant subspace method associated with variable transformation
Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Unnamed Item
- Construction of exact solutions for fractional order differential equations by the invariant subspace method
- Exact solution of certain time fractional nonlinear partial differential equations
- Hirota bilinear equations with linear subspaces of solutions
- Invariant subspaces and exact solutions of a class of dispersive evolution equations
- Adomian decomposition: a tool for solving a system of fractional differential equations
- Solving fractional diffusion and wave equations by modified homotopy perturbation method
- Invariant analysis of nonlinear fractional ordinary differential equations with Riemann-Liouville fractional derivative
- New maximal dimension of invariant subspaces to coupled systems with two-component equations
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Mathematical biology. Vol. 1: An introduction.
- Complex spatio-temporal solutions in fractional reaction-diffusion systems near a bifurcation point
- Lie symmetry analysis and exact solution of certain fractional ordinary differential equations
- On Lie symmetry analysis and invariant subspace methods of coupled time fractional partial differential equations
- A refined invariant subspace method and applications to evolution equations
- Separation variable method combined with integral bifurcation method for solving time-fractional reaction-diffusion models
- Exact solutions and maximal dimension of invariant subspaces of time fractional coupled nonlinear partial differential equations
- Idea of invariant subspace combined with elementary integral method for investigating exact solutions of time-fractional NPDEs
- Lie symmetry analysis and exact solutions of fractional ordinary differential equations with neutral delay
- Initial value problem for the \((2+1)\)-dimensional time-fractional generalized convection-reaction-diffusion wave equation: invariant subspaces and exact solutions
- A Legendre wavelet collocation method for 1D and 2D coupled time-fractional nonlinear diffusion system
- Method of variable separation for investigating exact solutions and dynamical properties of the time-fractional Fokker-Planck equation
- On the numerical solutions of coupled nonlinear time-fractional reaction-diffusion equations
- Invariant subspace method for \((m+1)\)-dimensional non-linear time-fractional partial differential equations
- Analytical treatment of regularized Prabhakar fractional differential equations by invariant subspaces
- Spectral collocation methods for nonlinear coupled time fractional Nernst-Planck equations in two dimensions and its convergence analysis
- Method of separation variables combined with homogenous balanced principle for searching exact solutions of nonlinear time-fractional biological population model
- On group analysis, conservation laws and exact solutions of time-fractional Kudryashov-Sinelshchikov equation
- Invariant subspace method and exact solutions of certain nonlinear time fractional partial differential equations
- Invariant subspaces and exact solutions for a system of fractional PDEs in higher dimensions
- Invariant subspace method: a tool for solving fractional partial differential equations
- Nonlinear reaction-diffusion systems. Conditional symmetry, exact solutions and their applications in biology
- Invariant subspaces and exact solutions: \((1+1)\) and \((2+1)\)-dimensional generalized time-fractional thin-film equations
- REVIEW OF SOME PROMISING FRACTIONAL PHYSICAL MODELS
- Analytic solution of nonlinear fractional Burgers-type equation by invariant subspace method
- A multiple exp-function method for nonlinear differential equations and its application
- Classification of coupled systems with two-component nonlinear diffusion equations by the invariant subspace method
- Multidimensional solutions of time-fractional diffusion-wave equations
- The chemical basis of morphogenesis
- PATTERN FORMATION IN FRACTIONAL REACTION–DIFFUSION SYSTEMS WITH MULTIPLE HOMOGENEOUS STATES
- Some exact solutions of a variable coefficients fractional biological population model
- EXACT RESULTS ON SOME NONLINEAR LAGUERRE-TYPE DIFFUSION EQUATIONS
- On Lie Symmetry Analysis of Certain Coupled Fractional Ordinary Differential Equations
- A class of third-order nonlinear evolution equations admitting invariant subspaces and associated reductions
- Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
- Nonlinear heat conduction equations with memory: Physical meaning and analytical results
- Anomalous diffusion and transport in heterogeneous systems separated by a membrane
- Four-component integrable hierarchies of Hamiltonian equations with \((m+n+2)\)th-order Lax pairs
- Invariant subspace method and exact solutions of the coupled system of time-fractional convection-reaction-diffusion equations
- Invariant subspace method to the initial and boundary value problem of the higher dimensional nonlinear time-fractional PDEs
- Method of separating variables combined with approach of dynamic system for investigating exact solutions of nonlinear time‐fractional models
- Linear Algebra Done Right
- Method of separation of variables and exact solution of time fractional nonlinear partial differential and differential-difference equations
- Novel Liouville integrable Hamiltonian models with six components and three signs
- On the solutions of the fractional generalized Gierer-Meinhardt model
This page was built for publication: Nonlinear two-component system of time-fractional PDEs in \((2+1)\)-dimensions: invariant subspace method combined with variable transformation