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June 8, 2021Physica Scripta

Soliton solutions for fractional DNA Peyrard-Bishop equation via the extended G ′ G 2 -expansion method

Ghazala Akram Saima Arshed Zainab Imran

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Key Points

The research aims to derive new solitary wave solutions for the fractional Peyrard-Bishop equation using the extended G'-expansion method.
Utilized the M-truncated derivative for the first time in context of the fractional Peyrard-Bishop model.
Applied the traveling wave transformation method to convert the model into an ordinary differential equation.
Extracted dark solitons, periodic solutions, singular solitons, combo solitons, and rational solutions.
Identified new soliton solutions that are not present in existing literature.
Detailed graphical representations through 3D plots to illustrate the findings.

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Implication

Demonstrates unusual soliton solutions in a fractional DNA model, suggesting new findings in wave behavior.

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Cite This Study

Akram et al. (2021) studied this question.

synapsesocial.com/papers/6a22be2229c8bdba62cd698f https://doi.org/10.1088/1402-4896/ac0955

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Keep reading

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1A view of solitary wave solutions to the fractional DNA Peyrard-Bishop equation via a new approach2024 · 3 citations
2Analytical study of fractional DNA dynamics in the Peyrard-Bishop oscillator-chain model2024 · 5 citations
3Investigation of soliton solutions to the Peyrard-Bishop-Deoxyribo-Nucleic-Acid dynamic model with beta-derivative2024 · 3 citations
4Computational soliton solutions for the fractional nonlinear dynamical model arising in water wave2024 · 1 citations
5Exact soliton solutions of the nonlinear time-fractional Schrödinger equation via Atangana–Baleanu and M-truncated operatorsOriginal Research · 2026 · 1 citations

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