[1]
|
Ablowitz, M.J. and Segur, H. (1981) Solitions and Inverse Scattering Transform. SIAM, Philadelphia.
http://dx.doi.org/10.1137/1.9781611970883
|
[2]
|
Malfliet, W. (1992) Solitary Wave Solutions of Nonlinear Wave Equation. American Journal of Physics, 60, 650-654.
http://dx.doi.org/10.1119/1.17120
|
[3]
|
Malfliet, W. and Hereman, W. (1996) The tanh Method: Exact Solutions of Nonlinear Evolution and Wave Equations. Physica Scripta, 54, 563-568. http://dx.doi.org/10.1088/0031-8949/54/6/003
|
[4]
|
Wazwaz, A.M. (2004) The tanh Method for Travelling Wave Solutions of Nonlinear Equations. Applied Mathematics and Computation, 154, 714-723. http://dx.doi.org/10.1016/S0096-3003(03)00745-8
|
[5]
|
El-Wakil, S.A. and Abdou, M.A. (2007) New Exact Travelling Wave Solutions Using Modified Extented tanh-Function Method. Chaos, Solitons & Fractals, 31, 840-852. http://dx.doi.org/10.1016/j.chaos.2005.10.032
|
[6]
|
Fan, E. (2000) Extended tanh-Function Method and Its Applications to Nonlinear Equations. Physics Letters A, 277, 212-218. http://dx.doi.org/10.1016/S0375-9601(00)00725-8
|
[7]
|
Wazwaz, A.M. (2007) The Extended tanh Method for Abundant Solitary Wave Solutions of Nonlinear Wave Equations. Applied Mathematics and Computation, 187, 1131-1142. http://dx.doi.org/10.1016/j.amc.2006.09.013
|
[8]
|
Wazwaz, A.M. (2005) Exact Solutions to the Double sinh-Gordon Equation by the tanh Method and a Variable Separated ODE Method. Computers & Mathematics with Applications, 50, 1685-1696.
http://dx.doi.org/10.1016/j.camwa.2005.05.010
|
[9]
|
Wazwaz, A.M. (2004) A sine-cosine Method for Handling Nonlinear Wave Equations. Mathematical and Computer Modelling, 40, 499-508. http://dx.doi.org/10.1016/j.mcm.2003.12.010
|
[10]
|
Yan, C. (1996) A Simple Transformation for Nonlinear Waves. Physics Letters A, 224, 77-84.
http://dx.doi.org/10.1016/S0375-9601(96)00770-0
|
[11]
|
Fan, E. and Zhang, H. (1998) A Note on the Homogeneous Balance Method. Physics Letters A, 246, 403-406.
http://dx.doi.org/10.1016/S0375-9601(98)00547-7
|
[12]
|
Wang, M.L. (1996) Exact Solutions for a Compound KdV-Burgers Equation. Physics Letters A, 213, 279-287.
http://dx.doi.org/10.1016/0375-9601(96)00103-X
|
[13]
|
Abdou, M.A. (2007) The Extended F-Expansion Method and Its Application for a Class of Nonlinear Evolution Equations. Chaos, Solitons & Fractals, 31, 95-104. http://dx.doi.org/10.1016/j.chaos.2005.09.030
|
[14]
|
Ren, Y.J. and Zhang, H.Q. (2006) A Generalized F-Expansion Method to Find Abundant Families of Jacobi Elliptic Function Solutions of the (2 + 1)-Dimensional Nizhnik-Novikov-Veselov Equation. Chaos, Solitons & Fractals, 27, 959-979. http://dx.doi.org/10.1016/j.chaos.2005.04.063
|
[15]
|
Zhang, J.L., Wang, M.L., Wang, Y.M. and Fang, Z.D. (2006) The Improved F-Expansion Method and Its Applications. Physics Letters A, 350, 103-109. http://dx.doi.org/10.1016/j.physleta.2005.10.099
|
[16]
|
He, J.H. and Wu, X.H. (2006) Exp-Function Method for Nonlinear Wave Equations. Chaos, Solitons & Fractals, 30, 700-708. http://dx.doi.org/10.1016/j.chaos.2006.03.020
|
[17]
|
Zahran, E.H.M. and Khater, M.M.A. (2014) The Modified Simple Equation Method and Its Applications for Solving Some Nonlinear Evolutions Equations in Mathematical Physics. Jokull Journal, 64.
|
[18]
|
Abdelrahman, M.A.E., Zahran, E.H.M. and Khater, M.M.A. (2014) Exact Traveling Wave Solutions for Power Law and Kerr Law Non Linearity Using the -Expansion Method. Global Journal of Science Frontier Research, 14-F.
|
[19]
|
Wang, M.L., Zhang, J.L. and Li, X.Z. (2008) The -Expansion Method and Travelling Wave Solutions of Nonlinear Evolutions Equations in Mathematical Physics. Physics Letters A, 372, 417-423.
http://dx.doi.org/10.1016/j.physleta.2007.07.051
|
[20]
|
Zhang, S., Tong, J.L. and Wang, W. (2008) A Generalized -Expansion Method for the mKdv Equation with Variable Coefficients. Physics Letters A, 372, 2254-2257. http://dx.doi.org/10.1016/j.physleta.2007.11.026
|
[21]
|
Zayed, E.M.E. and Gepreel, K.A. (2009) The -Expansion Method for Finding Traveling Wave Solutions of Nonlinear Partial Differential Equations in Mathematical Physics. Journal of Mathematical Physics, 50, Article ID: 013502. http://dx.doi.org/10.1063/1.3033750
|
[22]
|
Zahran, E.H.M. and Khater, M.M.A. (2014) Exact Solution to Some Nonlinear Evolution Equations by the -Expansion Method. Jokull Journal, 64.
|
[23]
|
Zaki, S.I. (2000) Solitary Wave Interactions for the Modified Equal width Wave Equation. Computer Physics Communications, 126, 219-213. http://dx.doi.org/10.1016/S0010-4655(99)00471-3
|
[24]
|
Fan, E. and Zhang, J. (2002) Applications of the Jacobi Elliptic Function Method to Special-Type Nonlinear Equations. Physics Letters A, 305, 383-392. http://dx.doi.org/10.1016/S0375-9601(02)01516-5
|
[25]
|
Liu, S., Fu, Z., Liu, S. and Zhao, Q. (2001) Jacobi Elliptic Function Expansion Method and Periodic Wave Solutions of Nonlinear Wave Equations. Physics Letters A, 289, 69-74. http://dx.doi.org/10.1016/S0375-9601(01)00580-1
|
[26]
|
Zhao, X.Q., Zhi, H.Y. and Zhang, H.Q. (2006) Improved Jacobi-Function Method with Symbolic Computation to Construct New Double-Periodic Solutions for the Generalized Ito System. Chaos, Solitons & Fractals, 28, 112-126.
http://dx.doi.org/10.1016/j.chaos.2005.05.016
|
[27]
|
Dolapci, ?.T. and Yildirim, A. (2013) Some Exact Solutions to the Generalized Korteweg-de Vries Equation and the System of Shallow Water Wave Equation. Nonlinear Analysis, Modeling and Control, 18, 27-36.
|
[28]
|
Salam, M.A. (2012) Traveling-Wave Solution of Modified Liouville Equation by Means of Modified Simple Equation Method. International Scholarly Research Network ISRN Applied Mathematics, 2012, Article ID: 565247.
|