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Abundant exact closed-form solutions and solitonic structures for the double-chain deoxyribonucleic acid (DNA) model

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Abstract

In this work, the abundant exact closed-form solutions and dynamics of solitons for the double-chain deoxyribonucleic acid (DNA) model is obtained by utilizing the generalized exponential rational function (GERF) method. Deoxyribonucleic acid (DNA) retains the genetic information that creatures need to live and reproduce themselves. We obtained several novel exact soliton and exponential rational functional solutions in the shapes of dynamics of solitons like multi-solitons, breather-type solitons, abundant elastic interactions between multi-solitons, and nonlinear waves, oscillating multi-solitons, and Lump solitons. These derived solutions were never reported in the literature. The dynamical structures of some exact solitons are exhibited graphically by assigning suitable values to the free parameters via 3D figures. The generated solutions can be more useful and help to explain the internal interactions of the double-chain DNA model. The symbolic computational work and the obtained solutions show that the present proposed GERF method is effective, robust, and straightforward. Moreover, these types of higher-order NLEEs can be solved using the current technique.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110007, India

    Sachin Kumar & Harsha Kharbanda

  2. Department of Mathematics, Sri Venkateswara College, University of Delhi, Delhi, 110021, India

    Amit Kumar

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Kumar, S., Kumar, A. & Kharbanda, H. Abundant exact closed-form solutions and solitonic structures for the double-chain deoxyribonucleic acid (DNA) model. Braz J Phys 51, 1043–1068 (2021). https://doi.org/10.1007/s13538-021-00913-8

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