Method d. R. Saparbayeva


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Conclusions
In this paper, the (G/G)-expansion method is used to conduct an analytic study on the double sinh-Gordon with loaded equation. The exact traveling wave solutions being determined in this study are more general, and it is not difficult to arrive at some known analytic solutions for certain choices of the parameters. Comparing the proposed method with the methods used in [1–8], show that the (G/G)-expansion method is not only simple and straightforward, but also avoids tedious calculations
References

[1]. Hossein KHEIRI and Azizeh JABBARI. Exact solutions for the double sinh-Gordon and generalized form of the double sinh-Gordon equations by using (G/G) -expansion method.


[2] Z. L. Li, Constructing of new exact solutions to the GKdV-mKdV equation with any-order nonlinear terms by (G’/G)-expansion method, Appl. Math. Comput., 217, 1398 (2010).
[3] E. M. Zayed, The (G’/G)-expansion method and its applications to some nonlinear evolution equations in the mathematical physics, J. Appl. Math. Comput.,30, 89(2009).
[4] E. M. Zayed, The (G’/G)-expansion method combined with the Riccati equation for finding exact solutions of nonlinear PDEs, J. Appl. Math. Inform., 29, 351 (2011). 9
[5] E. M. Zayed, K. A. Alurr, Extended generalized (G’/G)-expansion method for solving the nonlinear quantum Zakharov Kuznetsov equation, Ricerche Mat., 65, 235 (2016).
[6] N. Shang, B. Zheng, Exact Solutions for Three Fractional Partial Differential Equations by the (G’/G) Method, Int. J. Appl. Math., 43, 114 (2013).
[7] A. Bekir, O. Guner, Exact solutions of nonlinear fractional differential equations by (G’/G) expansion method, Chin. Phys. B, 22, 110202 (2013).
[8] A. Bekir, Application of the (G’/G)-expansion method for nonlinear evolution equations, Phys. Lett. A, 372, 3400 (2008)

with the highest order nonlinear term(s) in equation (3).

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