Author/Authors :
Ghasemi, M. shahrekord university - Faculty of Science - Department of Applied Mathematics, شهركرد, ايران , Fardi, M. iran university of science and technology - Department of Mathematics, تهران, ايران , Tavassoli Kajani, M. islamic azad university - Department of Mathematics, ايران , Khoshsiar Ghaziani, R. shahrekord university - Faculty of Science - Department of Applied Mathematics, شهركرد, ايران
Abstract :
In this paper, an application of homotopy perturbation method is applied to finding the solutions of a generalized fifth order KdV (gfKdV) equation. Then we obtain the exact solitary-wave solutions and numerical solutions of the gfKdV equation for the initial conditions. The numerical solutions are compared with the known analytical solutions. Their remarkable accuracy are finally demonstrated for the gfKdV equation.
Keywords :
Homotopy perturbation method , Sawada , Kotera equation , Lax’s fifth order KdV equation , Solitary , wave solution.
