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- Kitap BölümüYalnız künye2018Scopus SJRQ4Nonlinear dynamical model for DNA
Baskonus, Haci Mehmet; Cattani, Carlo; Agarwal, P; Dragomir, SS; Jleli, M; Samet, B
This chapter deals with a nonlinear dynamical system arising in the analysis of the double-chain model in deoxyribonucleic acid (DNA). Bernoulli sub-equation function method and modified exp (-Ω(ξ))-expansion function method to obtain some novel dynamical structures to the nonlinear dynamical system are used. We construct some new exponential, hyperbolic and complex periodic wave solutions to this model. Under some suitable values of parameters, we plot the 2D and 3D graphics of the solutions obtained in this study. All the solutions found in this study satisfy the nonlinear dynamical system. Moreover, these solutions can be used to explain some new significant physical meanings of the nonlinear dynamical model for DNA.
AtıfScopus10WoS9OpenAlex8
İncele - MakaleAçık Erişim2017Scopus SJRQ3New solitary wave solutions to the (2+1)-dimensional Calogero–Bogoyavlenskii–Schiff and the Kadomtsev–Petviashvili hierarchy equations
Baskonus, Haci Mehmet; Sulaiman, Tukur Abdulkadir; Bulut, Hasan
In this paper, with the help of Wolfram Mathematica 9 we employ the powerful sine-Gordon expansion method in investigating the solution structures of the two well known nonlinear evolution equations, namely; Calogero–Bogoyavlenskii–Schiff and Kadomtsev–Petviashvili hierarchy equations. We obtain new solutions with complex, hyperbolic and trigonometric function structures. All the obtained solutions in this paper verified their corresponding equations. We also plot the three- and two-dimensional graphics of all the obtained solutions in this paper by using the same program in Wolfram Mathematica 9. We finally submit a comprehensive conclusion.
AtıfScopus42WoS44OpenAlex56İncele