{"title":"New Exact Solutions for the (3+1)-Dimensional Breaking Soliton Equation","authors":"Mohammad Taghi Darvishi, Maliheh Najafi, Mohammad Najafi","volume":39,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":403,"pagesEnd":407,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10134","abstract":"
In this work, we obtain some analytic solutions for the (3+1)-dimensional breaking soliton after obtaining its Hirota-s bilinear form. Our calculations show that, three-wave method is very easy and straightforward to solve nonlinear partial differential equations.<\/p>\r\n","references":"[1] J.H. He, Variational iteration method-a kind of non-linear analytical\r\ntechnique: some examples, Int. J. Non-linear Mech. 34(4) (1999) 699-\r\n708.\r\n[2] M.T. Darvishi, F. Khani, A.A. Soliman, The numerical simulation for stiff\r\nsystems of ordinary differential equations, Comput. Math. Appl. 54(7-8)\r\n(2007) 1055-1063.\r\n[3] M.T. Darvishi, F. Khani, Numerical and explicit solutions of the fifth-order\r\nKorteweg-de Vries equations, Chaos, Solitons and Fractals 39 (2009)\r\n2484-2490.\r\n[4] J.H. He, New interpretation of homotopy perturbation method, Int. J.\r\nMod. Phys. B 20(18) (2006) 2561-2568.\r\n[5] J.H. 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