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Ordinary Differential Equations and Applied Dynamics Commons™
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Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
Traveling Wave Solutions For The (3+1)-Dimensional Breaking Soliton Equation By (G'/G)-Expansion Method And Modified F-Expansion Method, Mohammad Najafi M.Najafi, Mohammad Taghi Darvishi, Maliheh Najafi
Traveling Wave Solutions For The (3+1)-Dimensional Breaking Soliton Equation By (G'/G)-Expansion Method And Modified F-Expansion Method, Mohammad Najafi M.Najafi, Mohammad Taghi Darvishi, Maliheh Najafi
mohammad najafi
In this paper, using (G'/G )-expansion method and modified F-expansion method, we give some explicit formulas of exact traveling wave solutions for the (3+1)-dimensional breaking soliton equation. A modified F-expansion method is proposed by taking full advantages of F-expansion method and Riccati equation in seeking exact solutions of the equation.
A Modification Of Extended Homoclinic Test Approach To Solve The (3+1)-Dimensional Potential-Ytsf Equation, Mohammad Najafi, Mohammad Taghi Darvishi
A Modification Of Extended Homoclinic Test Approach To Solve The (3+1)-Dimensional Potential-Ytsf Equation, Mohammad Najafi, Mohammad Taghi Darvishi
mohammad najafi
By means of the extended homoclinic test approach (EHTA) one can solve some nonlinear partial differential equations (NLPDEs) in their bilinear forms. When an NLPDE has no bilinear closed form we can not use this method. We modify the idea of EHTA to obtain some analytic solutions for the (3+1)-dimensional potential-Yu- Toda-Sasa-Fukuyama (YTSF) equation by obtaining a bilinear closed form for it. By comparison of this method and other analytic methods, like HAM, HTA and three-wave methods, we can see that the new idea is very easy and straightforward