On Lie symmetry analysis and invariant subspace methods of coupled time fractional partial differential equations
DOI10.1016/j.chaos.2017.07.019zbMath1380.35161OpenAlexW2745786911MaRDI QIDQ1694050
Publication date: 1 February 2018
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2017.07.019
exact solutionsRiemann-Liouville fractional derivativeinvariant subspace methodLie group formalismsystem of time fractional PDEs
KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items (34)
Uses Software
Cites Work
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- FracSym: automated symbolic computation of Lie symmetries of fractional differential equations
- Construction of exact solutions for fractional order differential equations by the invariant subspace method
- Exact solution of certain time fractional nonlinear partial differential equations
- Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm
- Invariant analysis of time fractional generalized Burgers and Korteweg-de Vries 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
- The extended \(\left( \frac {G^{\prime}}{G}\right)\)-expansion method and its applications to the Whitham-Broer-Kaup-like equations and coupled Hirota-Satsuma KdV equations
- 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
- Direct search for exact solutions to the nonlinear Schrödinger equation
- Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations
- Symmetry and integration methods for differential equations
- Lie symmetry analysis and exact solution of certain fractional ordinary differential equations
- A refined invariant subspace method and applications to evolution equations
- New explicit and exact travelling wave solutions for a system of variant Boussinesq equations in mathematical physics
- Exact solutions and maximal dimension of invariant subspaces of time fractional coupled nonlinear partial differential equations
- Applications of homogenous balanced principle on investigating exact solutions to a series of time fractional nonlinear PDEs
- Lie symmetries and conservation laws for the time fractional Derrida-Lebowitz-Speer-Spohn equation
- Invariant subspace method and exact solutions of certain nonlinear time fractional partial differential equations
- Lump solutions to the Kadomtsev-Petviashvili equation
- Invariant subspace method: a tool for solving fractional partial differential equations
- Challenge on solutions of fractional Van Der Pol oscillator by using the differential transform method
- A new general algebraic method with symbolic computation to construct new travelling wave solution for the \((1+1)\)-dimensional dispersive long wave equation
- On invariant analysis of some time fractional nonlinear systems of partial differential equations. I
- Analytic solution of nonlinear fractional Burgers-type equation by invariant subspace method
- A multiple exp-function method for nonlinear differential equations and its application
- EXACT ONE-PERIODIC AND TWO-PERIODIC WAVE SOLUTIONS TO HIROTA BILINEAR EQUATIONS IN (2+1) DIMENSIONS
- Classification of coupled systems with two-component nonlinear diffusion equations by the invariant subspace method
- Nonlinear time-fractional dispersive equations
- Lie symmetries and group classification of a class of time fractional evolution systems
- Variational method for the derivative nonlinear Schrödinger equation with computational applications
- How to construct the discrete symmetries of partial differential equations
- CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
- Maximal dimension of invariant subspaces admitted by nonlinear vector differential operators
- Group-Invariant Solutions of Fractional Differential Equations
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