Symmetry properties and explicit solutions of the nonlinear time fractional KdV equation

DOI10.1186/1687-2770-2013-232zbMath1293.22006OpenAlexW1985411652WikidataQ59301995 ScholiaQ59301995MaRDI QIDQ2252571

Gang-Wei Wang, Tian-Zhou Xu

Publication date: 18 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-232

zbMATH Keywords

exact solutionsLie symmetry analysismodified Riemann-Liouville derivativeErdélyi-Kober operatorsfractional KdV equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (20)

A new method for constructing exact solutions for a time-fractional differential equation ⋮ Lie symmetry analysis of the time fractional KdV-type equation ⋮ Lie symmetry analysis, conservation laws and explicit solutions for the time fractional Rosenau-Haynam equation ⋮ Unnamed Item ⋮ Time-fractional generalized Boussinesq equation for Rossby solitary waves with dissipation effect in stratified fluid and conservation laws as well as exact solutions ⋮ Symmetry properties, conservation laws, reduction and numerical approximations of time-fractional cylindrical-Burgers equation ⋮ Lie group method and fractional differential equations ⋮ Lie point symmetry analysis of the Harry-Dym type equation with Riemann-Liouville fractional derivative ⋮ Group analysis and exact solutions of the time fractional Fokker-Planck equation ⋮ Lie symmetry analysis and explicit solutions for the time-fractional regularized long-wave equation ⋮ On the Time Fractional Generalized Fisher Equation: Group Similarities and Analytical Solutions ⋮ Invariant analysis and exact solutions of nonlinear time fractional Sharma-Tasso-Olver equation by Lie group analysis ⋮ Lie group analysis method for two classes of fractional partial differential equations ⋮ Invariant analysis and explicit solutions of the time fractional nonlinear perturbed Burgers equation ⋮ Lie symmetry analysis, exact solutions and conservation laws for the time fractional modified Zakharov–Kuznetsov equation ⋮ An efficient difference scheme for time-fractional KdV equation ⋮ Lie symmetry analysis of some conformable fractional partial differential equations ⋮ Lie symmetry analysis, conservation laws and analytical solutions of a time-fractional generalized KdV-type equation* ⋮ On invariant analysis of some time fractional nonlinear systems of partial differential equations. I ⋮ Symmetry properties and explicit solutions of some nonlinear differential and fractional equations

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