{"title":"Traveling Wave Solutions for the (3+1)-Dimensional Breaking Soliton Equation by (G'\/G)- Expansion Method and Modified F-Expansion Method","authors":"Mohammad Taghi Darvishi, Maliheh Najafi, Mohammad Najafi","volume":55,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":1100,"pagesEnd":1106,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/12188","abstract":"

In this paper, using (G\u0002\/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.<\/p>\r\n","references":" L. Debtnath, Nonlinear partial differential equations for scientists and\r\nengineers, Birkhauser, Boston, 1997.\r\n A.M. Wazwaz, Partial differential equations methods and applications,\r\nRotterdam, Balkema, 2002.\r\n J.H. He, New interpretation of homotopy perturbation method, Int. J.\r\nMod. Phys. B 20(18) (2006) 2561-2568.\r\n J.H. He, Application of homotopy perturbation method to nonlinear wave\r\nequations, Chaos, Solitons and Fractals 26(3) (2005) 695-700.\r\n J.H. He, Homotopy perturbation method for bifurcation of nonlinear\r\nproblems, Int. J. Nonlinear Sci. Numer. 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