On the multiple explicit exact solutions to the double‐chain DNA dynamical system

DOI10.1002/MMA.8904OpenAlexW4310989756MaRDI QIDQ6140668

Lanre Akinyemi, Usman Younas, Jingli Ren, Hadi Rezazadeh

Publication date: 2 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8904

zbMATH Keywords

explicit solutionsShGEEMdouble-chain model of DNAlongitudinal and transversal motionsNAEM

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60)

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Cites Work

• Nonlinear dynamics of DNA -- Riccati generalized solitary wave solutions
• Travelling wave solutions of nonlinear dynamical equations in a double-chain model of DNA
• Characterizations of all real solutions for the KdV equation and \(W_{\mathbb{R}}\)
• Generalized variational principle and periodic wave solution to the modified equal width-Burgers equation in nonlinear dispersion media
• A Coupled Base-Rotator Model for Structure and Dynamics of DNA: Local Fluctuations in Helical Twist Angles and Topological Solitons
• All meromorphic solutions of an ordinary differential equation and its applications
• Many Families of Exact Solutions for Nonlinear System of Partial Differential Equations Describing the Dynamics of DNA
• Modelling DNA at the mesoscale: a challenge for nonlinear science?
• Travelling Wave Solutions for Konopelchenko–Dubrovsky Equation Using an Extended sinh-Gordon Equation Expansion Method
• Meromorphic solutions of some algebraic differential equations related Painlevé equation IV and its applications

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