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Nonlinear Dynamical Model for DNA

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Advances in Mathematical Inequalities and Applications

Part of the book series: Trends in Mathematics ((TM))

Abstract

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 \( \left( { -\Omega \left(\upxi \right)} \right) \)-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.

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Author information

Authors and Affiliations

  1. Department of Computer Engineering, Munzur University, Tunceli, Turkey

    Haci Mehmet Baskonus

  2. Engineering School (DEIM), University of Tuscia, Viterbo, Italy

    Carlo Cattani

Authors
  1. Haci Mehmet Baskonus
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  2. Carlo Cattani
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Corresponding author

Correspondence to Carlo Cattani .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Anand International College of Engineering, Jaipur, India

    Praveen Agarwal

  2. Department of Mathematics, Victoria University, Melbourne, VIC, Australia

    Silvestru Sever Dragomir

  3. Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

    Mohamed Jleli

  4. Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

    Bessem Samet

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Baskonus, H.M., Cattani, C. (2018). Nonlinear Dynamical Model for DNA. In: Agarwal, P., Dragomir, S., Jleli, M., Samet, B. (eds) Advances in Mathematical Inequalities and Applications. Trends in Mathematics. Birkhäuser, Singapore. https://doi.org/10.1007/978-981-13-3013-1_7

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