Abstract
The aim of this paper is to extend the applications of (\(G^{\prime }/G\))-expansion method to solve a generalized sinh-Gordon equation. In fact, the binary (\(G^{\prime }/G\))-expansion method is introduced for finding different new exact solutions. It is shown that this method is a powerful mathematical tool for solving nonlinear evolution equations with time-dependent coefficients in mathematical physics.
Similar content being viewed by others
References
M J Ablowitz and P A Clarkson, Solitons, nonlinear evolution equations and inverse scattering (Cambridge University Press, Cambridge, 1991)
V B Matveev and M A Salle, Darboux transformation and solitons (Springer, Berlin, 1991)
R Hirota and J Satsuma, Phys. Lett. A 85, 407 (1981)
J Weiss, M Tabor and G Carnevale, J. Math. Phys. 24, 522 (1983)
R M Miura, Backlund transformation (Springer, Berlin, 1978)
E G Fan, Phys. Lett. A 277, 212 (2000)
M L Wang, Y B Zhou and Z B Li, Phys. Lett. A 216, 67 (1996)
S K Liu et al, Phys. Lett. A 289, 69 (2001)
J L Zhang, M L Wang and X Z Li, Phys. Lett. A 357, 188 (2006)
M L Wang and X Z Li, Chaos, Solitons and Fractals 24, 1257 (2005)
A M Wazwaz, Appl. Math. Comput. 150, 365 (2004)
A M Wazwaz, Nonlinear Dyn. 52, 1 (2008)
A M Wazwaz, Chaos, Solitons and Fractals 28, 127 (2006)
Y N Tang, W Xu, J W Shen and L Gao, Commun. Nonlinear Sci. Numer. Simul. 13, 1048 (2008)
G L Lamb Jr, Elements of soliton theory (Wiley, New York, 1980)
P G Drazin and R S Johnson, Solitons: An introduction (Cambridge University Press, New York, 1989)
E M E Zayed and Khaled A Gepreel, Appl. Math. Comput. 212, 1 (2009)
M L Wang, X Z Li and J L Zhang, Phys. Lett. A 372, 417 (2008)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
NEIRAMEH, A. Soliton solutions of the generalized sinh-Gordon equation by the binary (\(\boldsymbol {G}^{\boldsymbol {\prime }}\boldsymbol {/}\boldsymbol {G}\))-expansion method. Pramana - J Phys 85, 739–745 (2015). https://doi.org/10.1007/s12043-014-0896-1
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12043-014-0896-1