The exp-function method for new exact solutions of the nonlinear partial differential equations

This article was published in the International Journal of Physical Sciences [© 2011 Academic Journals] and the definite version is available at : 10.5897/IJPS11.1026

[1]  R. Ezzati,et al.  Using homotopy analysis method to obtain approximate analytical solutions of wave equations , 2011 .

[2]  Ji-Huan He,et al.  Variational iteration method for delay differential equations , 1997 .

[3]  M. Ablowitz,et al.  Solitons, Nonlinear Evolution Equations and Inverse Scattering , 1992 .

[4]  Ahmet Bekir,et al.  Exact solutions of nonlinear evolution equations with variable coefficients using exp-function method , 2010, Appl. Math. Comput..

[5]  Mohammad Hossein Bagheripour,et al.  A generalized analytical solution for a nonlinear infiltration equation using the exp-function method , 2011 .

[6]  A. Yildirim,et al.  Homotopy analysis method for fractional partial differential equations , 2011 .

[7]  Chao-Qing Dai,et al.  Variable-coefficient F-expansion method and its application to nonlinear Schrödinger equation , 2005 .

[8]  Ji-Huan He,et al.  Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method , 2007, Comput. Math. Appl..

[9]  Turgut Özis,et al.  On the validity and reliability of the (G'/G)-expansion method by using higher-order nonlinear equations , 2009, Appl. Math. Comput..

[10]  Mehdi Dehghan,et al.  He's variational iteration method for solving nonlinear mixed Volterra-Fredholm integral equations , 2009, Comput. Math. Appl..

[11]  W. Malfliet.  Solitary wave solutions of nonlinear wave equations , 1992 .

[12]  Mingliang Wang,et al.  Periodic wave solutions to a coupled KdV equations with variable coefficients , 2003 .

[13]  K. Glenk,et al.  Validity and Reliability , 2008, Environmental Valuation with Discrete Choice Experiments.

[14]  Abdul-Majid Wazwaz,et al.  Multiple-soliton solutions for the ninth-order KdV equation and sixth-order Boussinesq equation , 2008, Appl. Math. Comput..

[15]  Ji-Huan He,et al.  Exp-function method for nonlinear wave equations , 2006 .

[16]  Ahmet Yildirim,et al.  Application of the exp-function method for solving nonlinear reaction-diffusion equations arising in mathematical biology , 2010, Comput. Math. Appl..

[17]  Farah Aini Abdullah,et al.  New Traveling Wave Solutions of the Higher Dimensional Nonlinear Partial Differential Equation by the Exp-Function Method , 2012, J. Appl. Math..

[18]  A. Neirameh,et al.  Travelling wave solution for non-linear Klein- Gordon equation , 2010 .

[19]  K. Raslan.  Numerical study of the Modified Regularized Long Wave (MRLW) equation , 2009 .

[20]  M. Ramadan,et al.  The use of adomian decomposition method for solving the regularized long-wave equation , 2005 .

[21]  A. A. Soliman,et al.  New application of Exp-function method for improved Boussinesq equation , 2007 .

[22]  Zuntao Fu,et al.  JACOBI ELLIPTIC FUNCTION EXPANSION METHOD AND PERIODIC WAVE SOLUTIONS OF NONLINEAR WAVE EQUATIONS , 2001 .

[23]  S. Mohyud-Din,et al.  Solution of the nonlinear PDAEs by variational iteration method and its applications in nanoelectronics , 2011 .

[24]  Sheng Zhang,et al.  Exp-function method for constructing explicit and exact solutions of a lattice equation , 2008, Appl. Math. Comput..

[25]  G. R. McGuire,et al.  Numerical Study of the Regularized Long-Wave Equation. II: Interaction of Solitary Waves , 1977 .

[26]  M. A. Abdou,et al.  NEW PERIODIC SOLUTIONS FOR NONLINEAR EVOLUTION EQUATIONS USING EXP-FUNCTION METHOD , 2007 .

[27]  A. A. Soliman,et al.  Numerical simulation of the generalized regularized long wave equation by He's variational iteration method , 2005, Math. Comput. Simul..

[28]  H. Abdollahzadeh,et al.  Exact travelling solutions for the sixth-order Boussinesq equation , 2011 .

[29]  Sheng Zhang.  Exp-function method for Riccati equation and new exact solutions with two arbitrary functions of (2 + 1)-dimensional Konopelchenko-Dubrovsky equations , 2010, Appl. Math. Comput..

[30]  Yusuf Gurefe,et al.  EXP-FUNCTION METHOD FOR SOLVING NONLINEAR EVOLUTION EQUATIONS , 2011 .