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  1. No Access

    Article

    Nonlocal symmetry analysis and conservation laws to an third-order Burgers equation

    The nonlocal residual symmetry related to truncated Painlevé expansion of third-order Burgers equation is performed. Then, the potential symmetries of the equation are derived; on the basis of nonlocal symmetr...

    Gangwei Wang, A. H. Kara, K. Fakhar in Nonlinear Dynamics (2016)

  2. No Access

    Article

    Symmetry analysis and conservation laws for the class of time-fractional nonlinear dispersive equation

    In this paper, we derive the complete algebra of Lie point symmetries for the class of time-fractional nonlinear dispersive equation. By means of the classical Lie symmetry method, the associated vector fields...

    Gangwei Wang, A. H. Kara, K. Fakhar in Nonlinear Dynamics (2015)

  3. No Access

    Article

    Reductions and new exact solutions of the density-dependent Nagumo and Fisher equations

    We show that conservation laws and their corresponding multipliers can be used to reformulate systems of partial differential equations and obtain some new classes of solutions. By applying the generalized dou...

    P. Masemola, A. H. Kara, K. Fakhar in Journal of Engineering Mathematics (2013)

  4. No Access

    Article

    Similarity solutions and conservation laws for rotating flows of an Oldroyd-B fluid

    In this paper, similarity reduction arising from classical Lie point symmetries of unsteady hydromagnetic flows of a rotating Oldroyd-B fluid under influence of Hall currents is carried out. By employing diffe...

    K Fakhar, A H Kara, R Morris, T Hayat in Indian Journal of Physics (2013)

  5. No Access

    Article

    Magnetohydrodynamic Rotating Flow of a Generalized Burgers’ Fluid in a Porous Medium with Hall Current

    This study concentrates on the unsteady magnetohydrodynamics (MHD) rotating flow of an incompressible generalized Burgers’s fluid past a suddenly moved plate through a porous medium. Modified Darcy’s law for g...

    I. Khan, K. Fakhar, S. Sharidan in Transport in Porous Media (2012)

  6. No Access

    Article

    A note on the interplay between symmetries, reduction and conservation laws of Stokes’ first problem for third-grade rotating fluids

    We investigate the invariance properties, nontrivial conservation laws and interplay between these notions that underly the equations governing Stokes’ first problem for third-grade rotating fluids. We show th...

    K FAKHAR, A A ZAINAL, A H KARA in Pramana (2011)