Nonlinear dynamics of DNA -- Riccati generalized solitary wave solutions

DOI10.1016/j.physleta.2010.11.017zbMath1241.35205OpenAlexW2017538049MaRDI QIDQ430692

Amit Goyal, W. Alka, C. Nagaraja Kumar

Publication date: 26 June 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2010.11.017

zbMATH Keywords

nonlinear dynamicsfactorization methodsolitary wave solutionRiccati generalization

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Protein sequences, DNA sequences (92D20) Higher-order nonlinear hyperbolic equations (35L75) Soliton solutions (35C08)

Related Items (10)

A nonlinear model of the dynamics of radial dislocations in microtubules ⋮ Lie symmetry analysis of a stochastic gene evolution in double-chain deoxyribonucleic acid system ⋮ Two component model of microtubules and continuum approximation ⋮ Semi-discrete breather in a helicoidal DNA double chain-model ⋮ On the multiple explicit exact solutions to the double‐chain DNA dynamical system ⋮ Stationary solitary and kink solutions in the helicoidal Peyrard-Bishop model of DNA molecule ⋮ Travelling wave solutions of nonlinear dynamical equations in a double-chain model of DNA ⋮ One-parameter families of supersymmetric isospectral potentials from Riccati solutions in function composition form ⋮ Dynamic of DNA's possible impact on its damage ⋮ The first integral method for two fractional non-linear biological models

Cites Work

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• Factorization method and new potentials with the oscillator spectrum
• Nonlinear Second Order Ode's: Factorizations and Particular Solutions
• Modelling DNA at the mesoscale: a challenge for nonlinear science?
• Riccati-parameter solutions of nonlinear second-order ODEs
• Solitons in Molecular Systems
• The Factorization Method
• Long-range interactions of solitons in a double chain

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