We also draw two and three-dimensional graphics for some solutions with help of Mathematica 7.
📌 3 Key Takeaways
🎯
Objective & Hypothesis:In this work, we investigate solitary wave solutions of the coupled Konno-Oono equation with the aid of the functional variable method (FVM) and the two variables (G'/G,1/G)-expansion method.
📊
Key Findings & Data:We obtain solitary wave solutions in form of trigonometric function and hyperbolic function and rational function solutions.
💡
Conclusion & Impact:We also draw two and three-dimensional graphics for some solutions with help of Mathematica 7.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
In this work, we investigate solitary wave solutions of the coupled Konno-Oono equation with the aid of the functional variable method (FVM) and the two variables (G'/G,1/G)-expansion method. We obtain solitary wave solutions in form of trigonometric function and hyperbolic function and rational function solutions. We also draw two and three-dimensional graphics for some solutions with help of Mathematica 7.
Özet
Bu çalışmada, birleştirilmiş Konno-Oono Denkleminin fonksiyonel değişken metodu ve iki değişkenli (G'/G,1/G)- açılım metodu yardımıyla solitary dalga çözümlerini araştırdık. Ele aldığımız denklemin trigonometrik ve hiperbolik ve rasyonel fonksiyon formunda solitary dalga çözümlerini elde ettik. Ayrıca Mathematica 7 yardımıyla bazı çözümlerin iki ve üç boyutlu grafiklerini çizdik.
🔖
Cite This Article
ADİYEKE, S. K., TÜRE, G., DURAN, S. (2022). Solitary Wave Solutions of the Coupled Konno-Oono Equation by using the Functional Variable Method and the Two Variables (G'/G,1/G) -Expansion Method. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 7 - Sayı: 3, 585–594. https://ajindex.com/articles/428447
Wang, M., Li, X., Zhang, J., The (G^'/G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics, Physics Letters A, 372, 417-423, 2008
Guo, S., Zhou, Y., Zhao, X., The extended (G^'/G)-expansion method and its applications to the Whitham-Broer-Kaup-Like equations and coupled Hirota-Satsuma KdV equations, Applied Mathematics and Computation, 215, 3214-3221, 2010
Lü, H.L., Liu, X.Q., Niu, L., A generalized (G^'/G)-expansion method and its applications to nonlinear evolution equations, Applied Mathematics and Computation, 215, 3811-3816, 2010
Malfiet, W., Solitary wave solutions of nonlinear wave equations, American Journal of Physics, 60, 650-654, 1992
Ozpinar, F., Baskonus, H.M., Bulut, H., On the Complex and Hyperbolic Structures for the (2+1)-Dimensional Boussinesq Water Equation, Entropy, 17(12), 8267-8277, 2015
Baskonus, H.M., Askin, M., Travelling Wave Simulations to the Modified Zakharov-Kuzentsov Model Arising In Plasma Physics. 6th International Youth Science Forum “LITTERIS ET ARTIBUS” Comput. Sci. and Eng. 2016
Baskonus, H.M., Sulaiman, T.A., Bulut, H., On the Novel Wave Behaviors to the Coupled Nonlinear Maccari's System with Complex Structure, Optik, 131, 1036-1043, 2017
Bulut, H., Sulaiman, T.A., Baskonus, H.M., New Solitary and Optical Wave Structures to the Korteweg-de Vries Equation with Dual-Power Law Nonlinearity, Optical and Quantum Electronics, 48, 1-14, 2016
Gao, W., Baskonus, H. M., Shi, L., New investigation of bats-hosts-reservoir-people coronavirus model and application to 2019-nCoV system, Advances in Difference Equations, 391, 1-11, 2020
Gao, W., Yel, G., Baskonus, H. M., Cattani, C., Complex solitons in the conformable (2+1)-dimensional Ablowitz-Kaup-Newell-Segur equation, Aims Mathematics, 5(1), 507–521, 2020
Zerarka, A., Ouamane, S., On the functional variable method for finding exact solutions to a class of wave equations, Applied Mathematics and Computation, 217, 2897–2904, 2010
Li, L., Li, E., Wang, M., The (G′/G, 1/G)-expansion method and its application to travelling wave solutions of the Zakharov equations, Applied Mathematics-A Journal of Chinese Universities, 25, 454–462, 2010
Konno, K., Oono, H., New coupled integrable dispersionless equations, Journal of the Physical Society of Japan