Exact Traveling Wave Solution for Nonlinear Fractional Partial Differential Equation Arising in Soliton using the exp(-f(h))-Expansion Method

Emad H. M. Zahran

Research Article

Exact Traveling Wave Solution for Nonlinear Fractional Partial Differential Equation Arising in Soliton using the exp(-f(h))-Expansion Method

by Emad H. M. Zahran

International Journal of Computer Applications

Foundation of Computer Science (FCS), NY, USA

Volume 109 - Issue 13

Published: January 2015

Authors: Emad H. M. Zahran

10.5120/19247-0619

PDF

Emad H. M. Zahran . Exact Traveling Wave Solution for Nonlinear Fractional Partial Differential Equation Arising in Soliton using the exp(-f(h))-Expansion Method. International Journal of Computer Applications. 109, 13 (January 2015), 12-17. DOI=10.5120/19247-0619

                        @article{ 10.5120/19247-0619,
                        author  = { Emad H. M. Zahran },
                        title   = { Exact Traveling Wave Solution for Nonlinear Fractional Partial Differential Equation Arising in Soliton using the exp(-f(h))-Expansion Method },
                        journal = { International Journal of Computer Applications },
                        year    = { 2015 },
                        volume  = { 109 },
                        number  = { 13 },
                        pages   = { 12-17 },
                        doi     = { 10.5120/19247-0619 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }

                        %0 Journal Article
                        %D 2015
                        %A Emad H. M. Zahran
                        %T Exact Traveling Wave Solution for Nonlinear Fractional Partial Differential Equation Arising in Soliton using the exp(-f(h))-Expansion Method%T 
                        %J International Journal of Computer Applications
                        %V 109
                        %N 13
                        %P 12-17
                        %R 10.5120/19247-0619
                        %I Foundation of Computer Science (FCS), NY, USA

Abstract

The exp((-?(?))-expansion method is used as the first time to investigate the wave solution of a nonlinear the space-time nonlinear fractional PKP equation, the space-time nonlinear fractional SRLW equation, the space-time nonlinear fractional STO equation and the space-time nonlinear fractional KPP equation. The proposed method also can be used for many other nonlinear evolution equations.

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Index Terms

Computer Science

Information Sciences

No index terms available.

Keywords

The exp ((-?(?))-expansion method The space-time nonlinear fractional PKP equation The space-time nonlinear fractional SRLW equation The space-time nonlinear frac¬tional STO equation The space-time nonlinear fractional KPP equation Traveling wave solu¬tions Solitary wave solutions Kink-antikink shaped.