Here,a new fractional sub-equation method with a fractional complex transform is proposed for constructing exact solutions of fractional partial differential equations arising in plasma physics in the sense of modifie...Here,a new fractional sub-equation method with a fractional complex transform is proposed for constructing exact solutions of fractional partial differential equations arising in plasma physics in the sense of modified Riemann-Liouville derivative,which is the fractional version of the known D_(ξ)^(α)G(ξ)/G(ξ)method.To illustrate the validity of this method,we apply it to the space-time fractional KdV equation on the dust ion acoustic waves in dusty plasma and space-time Boussinesq fractional equation.The proposed approach is efficient and powerful for solving wide classes of nonlinear evolution fractional order equations.The solutions obtained here are new and have not been reported in former literature.展开更多
基金This paper have been supported by research support pro-gram,University of Bisha,Kingdom of Saudi Arabia,grand Number UB-14-1438.
文摘Here,a new fractional sub-equation method with a fractional complex transform is proposed for constructing exact solutions of fractional partial differential equations arising in plasma physics in the sense of modified Riemann-Liouville derivative,which is the fractional version of the known D_(ξ)^(α)G(ξ)/G(ξ)method.To illustrate the validity of this method,we apply it to the space-time fractional KdV equation on the dust ion acoustic waves in dusty plasma and space-time Boussinesq fractional equation.The proposed approach is efficient and powerful for solving wide classes of nonlinear evolution fractional order equations.The solutions obtained here are new and have not been reported in former literature.
