Exact soliton solutions of the generalized combined and the generalized double combined sinh-cosh-Gordon equations

Nasir Taghizadeha, Seyedeh Roodabeh Moosavi Noorib,*, Seyedeh Bahareh Moosavi Noorib

Exact soliton solutions of the generalized combined and the generalized double combined sinh-cosh-Gordon equations

Authors :

Nasir Taghizadeh^a, Seyedeh Roodabeh Moosavi Noori^b,*, Seyedeh Bahareh Moosavi Noori^b

Author Address :

^aDepartment of Mathematics, Faculty of Mathematics, University of Guilan, P. O. Box 1914, Rasht, Iran.
^bDepartment of Industrial Engineering, Kooshyar higher education institute, Rasht, Iran.

*Corresponding author.

Abstract :

In this paper, the extended tanh method is used to construct exact solutions of the generalized combined sinh-cosh-Gordon equations and the generalized double combined sinh-cosh-Gordon equations which arises in mathematical physics and has a wide range of scientific applications that range from chemical reactions to water surface gravity waves. The extended tanh method is an efficient method for obtaining exact solutions of nonlinear partial differential equations. This method can be applied to nonintegrable equations as well as to integrable ones.

Keywords :

Extended tanh method, Combined sinh-cosh-Gordon equations, Double combined sinh-cosh-Gordon equation, soliton.

DOI :

Article Info :

Received : October 14, 2015; Accepted : June 09, 2016.