Abdou MA (2007).The extended tanh method and its applications for solving nonlinear physical models. Appl. Math. Comput.190(1):988-996.
Crossref |
|
|
Ablowitz MJ, Clarkson PA (1991). Solitons, nonlinear evolution equations and inverse scattering transform. Cambridge University Press, New York.
Crossref |
|
|
Aslan I (2010). A note on the (G'/G) -expansion method again. Appl. Math. Comput. 217(2):937-938.
Crossref |
|
|
Aslan I (2011). Exact and explicit solutions to the discrete nonlinear Schrödinger equation with a saturable nonlinearity. Phys. Lett. A. 375(47):4214-4217.
Crossref |
|
|
Aslan I (2012a). Some exact solutions for Toda type lattice differential equations using the improved (G'/G)– expansion method. Math. Methods Appl. Sci. 35(4):474-481.
Crossref |
|
|
Aslan I (2012b). The discrete (G'/G) -expansion method applied to the differential-difference Burgers equation and the relativistic Toda lattice system. Numer. Methods Par. Diff. Eqs. 28(1):127-137.
Crossref |
|
|
Aslan I (2011). Comment on application of exp-function method (3+1)dimensional nonlinear evolution equation.[Comput Math. Appl. 56(2008):1451-1456], Comput. Math. Appl. 61(6):1700-1703.
Crossref |
|
|
Ayhan B, Bekir A (2012). The (G'/G) -expansion method for the nonlinear lattice equations. Commun. Nonlin. Sci. Numer. Simul. 17(9):3490-3498.
Crossref |
|
|
Bekir A (2008). Application of the (G'/G) -expansion method for nonlinear evolution equations. Phys. Lett. A. 372(19):3400-3406.
Crossref |
|
|
Bekir A (2009). The exp-function for Ostrovsky equation. Int. J. Nonlin. Sci. Numer. Simul. 10:735-739.
Crossref |
|
|
Bekir A (2010). Application of exp-function method for nonlinear differential-difference equations. Appl. Math. Comput. 215(11):4049-4053.
Crossref |
|
|
Chen Y, Wang Q (2005). Extended Jacobi elliptic function rational expansion method and abundant families of Jacobi elliptic function solutions to (1+1)-dimensional dispersive long wave equation. Chaos Solit. Fract. 24(3):745-757.
Crossref |
|
|
Fan E (2000). Extended tanh-function method and its applications to nonlinear equations. Phys. Lett. A. 277:212-218.
Crossref |
|
|
Freedman H, Rezania V, Priel A, Carpenter E, Noskov SY, Tuszynski JA (2010). Model of Ionic Currents through Microtubule Nanopores and the Lumen. Phys. Rev. E. 81(5):051912.
Crossref |
|
|
He JH, Wu XH.(2006). Exp-function method for nonlinear wave equations. Chaos Solit. Fract. 30(3):700-708.
Crossref |
|
|
Hirota R (1971). Exact solutions of the KdV equation for multiple collisions of solutions. Phys. Rev. Lett. 27:1192-1194.
Crossref |
|
|
Ilic DI, Sataric MV, Ralevic N (2009), Atomic and molecular physics: Microtubule as a transmission line for ionic currents, Chin. Phys. Lett. 26:073101-073103.
Crossref |
|
|
Kudryashov NA (1988). Exact solutions of a generalized evolution of wave dynamics. J. Appl. Math. Mech. 52:361-365.
Crossref |
|
|
Kudryashov NA (1990). Exact solutions of a generalized Kuramoto-Sivashinsky equation. Phys. Lett. A. 147(5-6):287-291.
Crossref |
|
|
Kudryashov NA (1991).On types of nonlinear non integrable equations with exact solutions. Phys. Lett. A. 155(4-5):269-275.
Crossref |
|
|
Liu S, Z. Fu Z, Zhao Q (2001). Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations. Phys. Lett. A. 289(1-2):69-74.
Crossref |
|
|
Lu D (2005). Jacobi elliptic function solutions for two variant Boussinesq equations, Chaos Solit. Fract. 24(5): 1373.
Crossref |
|
|
|
Miura MR (1978). Backlund transformation, Springer, Berlin, Germany. |
|
|
|
Rogers C, Shadwick WF (1982). Baclund Transformation and Their Applications. Academic Press, New York. p. 161. |
|
|
Sataric MV, Ilic DI, Ralevic NM and Tuszynski JA (2009). A nonlinear model of ionic wave propagation along microtubules. Eur. Biophys. J. Biophys. Lett. 38:637-647.
Crossref |
|
|
Sataric MV, Sekulic DL, Zivanov MB (2010). Solitonic ionic currents along microtubules. J. Comput. Theor. Nanosci. 7:2281-2290.
Crossref |
|
|
Sekulic DL, Sataric MV, Zivanov MB (2011a). Symbolic computation of some new nonlinear partial differential equations of nanobiosciences using modified extended tanh-function method. Appl. Math. Comput. 218:3499-3506.
Crossref |
|
|
Sekulic DL, Sataric BM, Tuszynski JA, Sataric MV (2011b). Nonlinear ionic pulses along microtubules. Eur. Phys. J. E. Soft Matter 34(5):1-11.
Crossref |
|
|
Sekulić DL, Satarić MV (2012). Microtubule as nanobioelectronic nonlinear circuit, Serbian J. Elect. Eng. 9:107-119.
Crossref |
|
|
|
Sekulic DL, Sataric MV,Zivanov MB, Bajic JS (2012). Soliton-like pulses along electrical nonlinear transmission line, Electr. Elect. Eng.121:53-58. |
|
|
Wang M, Li X, Zhang J (2008). The (G'/G)-expansion method and traveling wave solutions of nonlinear evolution equations in mathematical physics. Phys. Lett. A. 372:417-423.
Crossref |
|
|
Weiss J, Tabor T, Carnevale G (1983). The Painlevé property for partial differential equations. J. Math. Phys. 24(3):552-526.
Crossref |
|
|
Yusufoglu E (2008).New solitary for the MBBM equations using exp-function method. Phys. Lett. A. 372:442-446.
Crossref |
|
|
Yusufoglu E, Bekir A (2008). Exact solutions of coupled nonlinear Klein-Gordon equations. Math. Comput. Model. 48:1694-1700.
Crossref |
|
|
Zayed EME (2009). The (G'/G) -expansion method and its applications to some nonlinear evolution equations in the mathematical physics. J. Appl. Math. Comput. 30:89-103.
Crossref |
|
|
|
Zayed EME (2010). Traveling wave solutions for higher dimensional nonlinear evolution equations using the (G'/G)-expansion method. J. Appl. Math. Inf. 28:383-395. |
|
|
|
Zayed EME, Arnous AH (2013). Many exact solutions for nonlinear dynamics of DNA model using the generalized Riccati equation mapping method. Sci. Res. Essays 8:340-346. |
|
|
|
Zayed EME, Amer YA, Shohib RMA (2013). The improved Riccati equation mapping method for constructing many families of exact solutions for nonlinear partial differential equation on nanobioscience. Int. J. Phys. Sci. 8(22):1246-1255. |
|
|
Zhang S (2008). Application of exp-function method to high–dimensional nonlinear evolution equation. Chaos Solit. Fract.38:270-276.
Crossref |
|
|
|
Zhang S, Xia T (2008). A further improved tanh function method exactly solving the (2+1)- dimensional dispersive long wave equations. Appl. Math. E-Notes 8:58-66. |
|
|
Zhang S, Tong JL, Wang W (2008). A generalized (G'/G)-Expansion method for the mKdV equation with variable coefficients. Phys. Lett. A. 372:2254-2257.
Crossref |
|
|
Zhu SD (2008). The generalized Riccati equation mapping method in nonlinear evolution equation: application to (2+1)-dimensional Boiti-lion-Pempinelle equation. Chaos Solit. Fract. 37:1335-1342.
Crossref |
