Stationary multi-wave resonant ensembles in a microtubule

Никитенкова, С. П.; Kovriguine, D. A.

doi:10.1016/j.cnsns.2018.06.001

Communications in Nonlinear Science and Numerical Simulation

2019

DOI: 10.1016/j.cnsns.2018.06.001

|View full text |Cite

Stationary multi-wave resonant ensembles in a microtubule

С. П. Никитенкова

D. A. Kovriguine

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

2025

Publication Types

Select...

Article5

Relationship

Self Cite0

Independent5

Authors

Journals

Cited by 5 publications

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

New traveling‐wave solutions for a nonlinear Dodd–Bullough–Mikhailov equation

Tariq,

Liu,

Nisar

2024

Math Methods in App Sciences

View full text Add to dashboard Cite

In this article, we will present new and more general traveling‐wave solutions for the Dodd–Bullough–Mikhailov equation based on the extended Fan sub‐equation method. The two‐dimensional affine sphere's intrinsic geometry is determined by Dodd–Bullough in the three‐dimensional unimodular affine space. The most significant accomplishment of our method is that we are able to provide all forms of the previously obtained solutions in one action, using at least four different approaches. As a result, the general elliptic equation with five parameters can be connected to other sub‐equations with three parameters that already exist, such as the Riccati equation, the first sort of elliptic equation, the auxiliary ordinary equation, and the modified Riccati equation. The extended Fan sub‐equation method is utilized to construct traveling‐wave solutions, solitary wave solutions, dark soliton solutions, and bell soliton solutions for the nonlinear Dodd–Bullough–Mikhailov equation. Mathematica is utilized to depict the dynamics of various wave structures in 3D, 2D, and contour formats, utilizing a specific set of parameters. Our graphical comparative analysis suggests that the employed method is both reliable and powerful for obtaining exact solutions of nonlinear evolution equations. The approach employed in this study may also be applicable in enhancing the understanding of numerous other complex physical phenomena.

show abstract

New traveling‐wave solutions for a nonlinear Dodd–Bullough–Mikhailov equation

Tariq,

Liu,

Nisar

2024

Math Methods in App Sciences

View full text Add to dashboard Cite

show abstract

Abundant Resonant Behaviors of Soliton Solutions to the (3+1)-dimensional BKP-Boussinesq Equation

2023

View full text Add to dashboard Cite

Resonant phenomena have been observed and investigated in various situations, such as plasma experiments, the maritime security and the microtubule in cell physiology. In this paper, abundant resonant behaviors are studied for the (3+1)-dimensional BKP-Boussinesq equation. We mainly discuss the resonant two- and three-soliton solutions in the ( x, y )-plane and ( x, z )-plane. The characteristics are given for the kink soliton waves, including expressions, maximums, minimums and velocities. The kink soliton waves in the ( x, y )-plane are parallel, and the fusion or fission may occur. The kink soliton waves in the ( x, z )-plane are not parallel and the resonant phenomena among them are more complicated.

show abstract

Multi-exponential wave solutions to two extended Jimbo–Miwa equations and the resonance behavior

Ruan

Zhang

et al. 2020

Applied Mathematics Letters

118

View full text Add to dashboard Cite

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Stationary multi-wave resonant ensembles in a microtubule

Cited by 5 publications

References 24 publications

New traveling‐wave solutions for a nonlinear Dodd–Bullough–Mikhailov equation

New traveling‐wave solutions for a nonlinear Dodd–Bullough–Mikhailov equation

Abundant Resonant Behaviors of Soliton Solutions to the (3+1)-dimensional BKP-Boussinesq Equation

Multi-exponential wave solutions to two extended Jimbo–Miwa equations and the resonance behavior

Contact Info

Product

Resources

About