Analytic solution of nonlinear fractional Burgers-type equation by invariant subspace method
From MaRDI portal
Publication:2925570
zbMath1305.35151arXiv1306.1942MaRDI QIDQ2925570
Roberto Garra, Pietro Artale Harris
Publication date: 17 October 2014
Full work available at URL: https://arxiv.org/abs/1306.1942
KdV equations (Korteweg-de Vries equations) (35Q53) Fractional partial differential equations (35R11)
Related Items (25)
An approximation to the solution of time fractional modified Burgers' equation using extended cubic B-spline method ⋮ Method of variable separation for investigating exact solutions and dynamical properties of the time-fractional Fokker-Planck equation ⋮ Invariant subspace method for \((m+1)\)-dimensional non-linear time-fractional partial differential equations ⋮ Exact solution of certain time fractional nonlinear partial differential equations ⋮ Invariant subspace method: a tool for solving fractional partial differential equations ⋮ Lie symmetry analysis and exact solution of certain fractional ordinary differential equations ⋮ Singularity formation in fractional Burgers' equations ⋮ On Lie symmetry analysis and invariant subspace methods of coupled time fractional partial differential equations ⋮ Invariant subspace method and exact solutions of the coupled system of time-fractional convection-reaction-diffusion equations ⋮ Dynamical system method for investigating existence and dynamical property of solution of nonlinear time-fractional PDEs ⋮ Invariant subspaces and exact solutions: \((1+1)\) and \((2+1)\)-dimensional generalized time-fractional thin-film equations ⋮ An optimal control problem associated to a class of fractional Burgers’ equations ⋮ Method of separating variables combined with approach of dynamic system for investigating exact solutions of nonlinear time‐fractional models ⋮ Method of separation variables combined with homogenous balanced principle for searching exact solutions of nonlinear time-fractional biological population model ⋮ Separation variable method combined with integral bifurcation method for solving time-fractional reaction-diffusion models ⋮ On group analysis, conservation laws and exact solutions of time-fractional Kudryashov-Sinelshchikov equation ⋮ 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 ⋮ Idea of invariant subspace combined with elementary integral method for investigating exact solutions of time-fractional NPDEs ⋮ Invariant subspace method and exact solutions of certain nonlinear time fractional partial differential equations ⋮ Method of separation of variables and exact solution of time fractional nonlinear partial differential and differential-difference equations ⋮ Exact solutions to the fractional differential equations with mixed partial derivatives ⋮ The invariant subspace method for solving nonlinear fractional partial differential equations with generalized fractional derivatives ⋮ Initial value problem for the \((2+1)\)-dimensional time-fractional generalized convection-reaction-diffusion wave equation: invariant subspaces and exact solutions ⋮ Invariant subspaces and exact solutions for a system of fractional PDEs in higher dimensions
This page was built for publication: Analytic solution of nonlinear fractional Burgers-type equation by invariant subspace method