### First Integral Method for Systems of (1+1)-Dimensional Dispersive Long Wave

#### Abstract

doi:10.14456/WJST.2015.45

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MR Miura. Backlund Transformation. Springer-Verlag, Berlin, 1978.

VB Matveev and MA Salle. Darboux Transformations and Solitons. Berlin, Heidelberg, Springer, 1991.

EJ Parkes and BR Duffy. An automated tanh-function method for finding solitary wave solution to nonlinear evolution equations. Comput. Phys. Comm. 1998; 98, 288-300.

AM Wazwaz. The extended tanh method for new soliton solutions for many forms of the fifth-order KdV equations. Appl. Math. Comput. 2007; 184, 1002-14.

SA Elwakil, SK EL-Labany, SK Zahran and MA Sabry. Modified extended tanh-function method for solving nonlinear partial differential equations. Phys. Lett. A 2002; 299, 179-88.

YT Gao and B Tian. Generalized hyperbolic-function method with computerized symbolic computation to construct the solitonic solutions to nonlinear equations of mathematical physics. Comput. Phys. Comm. 2001; 133, 158-64.

XY Tang and SY Lou. Localized excitations in (2+1)-dimensional systems. Phys. Rev. E 2002; 66, 46601-17.

ZS Feng. The first integral method to study the Burgers-Korteweg-de Vries equation. Phys. Lett. A 2002; 35, 343-9.

K Hosseini, R Ansari and P Gholamin. Exact solutions of some nonlinear systems of partial differential equations by using the first integral method. J. Math. Anal. Appl. 2012; 387, 807-14.

ZS Feng and XH Wang. The first integral method to the two-dimensional Burgers-Korteweg-de Vries equation. Phys. Lett. A 2003; 308, 173-8.

B Lu. The first integral method for some time fractional differential equations. J. Math. Anal. Appl. 2012; 395, 684-93.

MJ Ablowitz and PA Clarkson. Solitons Nonlinear Evolution Equations and Inverse Scattering. London Cambridge University Press, 1991.

TR Ding and CZ Li. Ordinary Differential Equations. Peking University Press, Peking, 1996.

N Bourbaki. Commutative Algebra. Addison-Wesley, Paris, 1971.

ME Minasari, D Ganji and MO Minasari. Jacobi elliptic function solutions of the (1+1) dimensional dispersive long wave equation by Homotopy Perturbation Method. Numer. Meth. Part. Differ. Equat. 2008; 24, 1361-70.

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