Extended Jacobian Elliptic Function Expansion Method and its Applications for Solving some Nonlinear Evolution Equations in Mathematical Physics

Maha S. M. Shehata

Research Article

Extended Jacobian Elliptic Function Expansion Method and its Applications for Solving some Nonlinear Evolution Equations in Mathematical Physics

by Maha S. M. Shehata

International Journal of Computer Applications

Foundation of Computer Science (FCS), NY, USA

Volume 109 - Issue 12

Published: January 2015

Authors: Maha S. M. Shehata

10.5120/19237-0621

PDF

Maha S. M. Shehata . Extended Jacobian Elliptic Function Expansion Method and its Applications for Solving some Nonlinear Evolution Equations in Mathematical Physics. International Journal of Computer Applications. 109, 12 (January 2015), 1-4. DOI=10.5120/19237-0621

                        @article{ 10.5120/19237-0621,
                        author  = { Maha S. M. Shehata },
                        title   = { Extended Jacobian Elliptic Function Expansion Method and its Applications for Solving some Nonlinear Evolution Equations in Mathematical Physics },
                        journal = { International Journal of Computer Applications },
                        year    = { 2015 },
                        volume  = { 109 },
                        number  = { 12 },
                        pages   = { 1-4 },
                        doi     = { 10.5120/19237-0621 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }

                        %0 Journal Article
                        %D 2015
                        %A Maha S. M. Shehata
                        %T Extended Jacobian Elliptic Function Expansion Method and its Applications for Solving some Nonlinear Evolution Equations in Mathematical Physics%T 
                        %J International Journal of Computer Applications
                        %V 109
                        %N 12
                        %P 1-4
                        %R 10.5120/19237-0621
                        %I Foundation of Computer Science (FCS), NY, USA

Abstract

Extended Jacobian elliptic function expansion method is employed to find the ex¬act traveling wave solutions involving parameters for nonlinear evolution equations. When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that extended Jacobian elliptic func¬tion expansion method provides an effective and a more powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. Comparison between our results and the well-known results will be presented.

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Index Terms

Computer Science

Information Sciences

No index terms available.

Keywords

Extended Jacobian elliptic function expansion method (2+l)-Dimensional soliton breaking equation (3+l)-Dimensional Kadomstev-Petviash-vili Tarveling wave so¬lutions Solitary wave solutions.