Article
New Complex Hyperbolic Structures to the Lonngren-Wave Equation by Using Sine-Gordon Expansion Method
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Abstract
In this paper, a powerful sine-Gordon expansion method (SGEM) with aid of a computational program is used in constructing a new hyperbolic function solutions to one of the popular nonlinear evolution equations that arises in the field of mathematical physics, namely; longren-wave equation. We also give the 3D and 2D graphics of all the obtained solutions which are explaining new properties of model considered in this paper. Finally, we submit a comprehensive conclusion at the end of this paper.
Keywords
The sine-Gordon expansion method, the longren-wave equation, hyperbolic function solutions, 02.60.Lj, 02.70.Wz, 02.90.+p, 03.65.-w
Citation
Baskonus, H. M., Bulut, H., & Sulaiman, T. A. (2019). New complex hyperbolic structures to the lonngren-wave equation by using sine-gordon expansion method. Applied Mathematics and Nonlinear Sciences, 4(1), 129–138. https://doi.org/10.2478/AMNS.2019.1.00013
H. M. Baskonus, H. Bulut and T. A. Sulaiman, “New complex hyperbolic structures to the lonngren-wave equation by using sine-gordon expansion method,” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 1, pp. 129–138, 2019, doi: 10.2478/AMNS.2019.1.00013.
Baskonus HM, Bulut H, Sulaiman TA. New complex hyperbolic structures to the lonngren-wave equation by using sine-gordon expansion method. Applied Mathematics and Nonlinear Sciences. 2019;4(1):129–138. doi:10.2478/AMNS.2019.1.00013.
Baskonus, H. M., Bulut, H. and Sulaiman, T. A. (2019), ‘New complex hyperbolic structures to the lonngren-wave equation by using sine-gordon expansion method’, Applied Mathematics and Nonlinear Sciences, 4(1), pp. 129–138. Available at: https://doi.org/10.2478/AMNS.2019.1.00013.
Baskonus, Haci Mehmet, et al. “New Complex Hyperbolic Structures to the Lonngren-wave Equation by Using Sine-gordon Expansion Method.” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 1, 2019, pp. 129–138. https://doi.org/10.2478/AMNS.2019.1.00013.
Baskonus, Haci Mehmet, Hasan Bulut, and Tukur Abdulkadir Sulaiman. “New Complex Hyperbolic Structures to the Lonngren-wave Equation by Using Sine-gordon Expansion Method.” Applied Mathematics and Nonlinear Sciences 4, no. 1 (2019): 129–138. https://doi.org/10.2478/AMNS.2019.1.00013.
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