New wave dynamics of the time-fractional Kaup–Kupershmidt model of seventh-order arises in shallow water waves

Tripathy, A.; Sahoo, S.

doi:10.1007/s11082-023-05901-7

Opt Quant Electron

2024

DOI: 10.1007/s11082-023-05901-7

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New wave dynamics of the time-fractional Kaup–Kupershmidt model of seventh-order arises in shallow water waves

A. Tripathy,

S. Sahoo

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2024

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Cited by 2 publications

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Investigation of the complex dynamical structure of bifurcation and dark soliton solutions to fractional generalized double sinh-Gordon equation

Naseem,

Hussain

2024

Partial Differential Equations in Applied Mathematics

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Investigation of the complex dynamical structure of bifurcation and dark soliton solutions to fractional generalized double sinh-Gordon equation

Naseem,

Hussain

2024

Partial Differential Equations in Applied Mathematics

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Chaotic Pattern and Solitary Solutions for the (21)-Dimensional Beta-Fractional Double-Chain DNA System

Han,

Zhang,

Jiang

et al. 2024

Fractal Fract

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The dynamical behavior of the double-chain deoxyribonucleic acid (DNA) system holds significant implications for advancing the understanding of DNA transmission laws in the realms of biology and medicine. This study delves into the investigation of chaos patterns and solitary wave solutions for the (2+1) Beta-fractional double-chain DNA system, employing the theory of planar dynamical systems and the method of complete discrimination system for polynomials (CDSP). The results demonstrate a diverse spectrum of solitary wave solutions, sensitivity to perturbations, and manifestations of chaotic behavior within the system. Through the utilization of the complete discrimination system for polynomials, a multitude of novel solitary wave solutions, encompassing periodic, solitary wave, and Jacobian elliptic function solutions, were systematically constructed. The influence of Beta derivatives on the solutions was elucidated through parameter comparison analysis, emphasizing the innovative nature of this study. These findings underscore the potential of this system in unraveling various biologically significant DNA transmission mechanisms.

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New wave dynamics of the time-fractional Kaup–Kupershmidt model of seventh-order arises in shallow water waves

Cited by 2 publications

References 24 publications

Investigation of the complex dynamical structure of bifurcation and dark soliton solutions to fractional generalized double sinh-Gordon equation

Investigation of the complex dynamical structure of bifurcation and dark soliton solutions to fractional generalized double sinh-Gordon equation

Chaotic Pattern and Solitary Solutions for the (21)-Dimensional Beta-Fractional Double-Chain DNA System

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