Chaotic analysis and a damped oscillator solitary wave structures to the generalized reaction Duffing model
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10257687" target="_blank" >RIV/61989100:27740/25:10257687 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S221137972500097X?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S221137972500097X?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.rinp.2025.108203" target="_blank" >10.1016/j.rinp.2025.108203</a>
Alternative languages
Result language
angličtina
Original language name
Chaotic analysis and a damped oscillator solitary wave structures to the generalized reaction Duffing model
Original language description
The aim of this research is to obtain soliton solutions for the generalized reaction Duffing model, a framework that generalizes many important models that illustrate key phenomena in science and engineering. In contrast to regular harmonic motion, this equation describes the motion of a damped oscillator with a more complex potential. We used the Kumar–Malik method in this work to obtain analytical solutions for the generalized reaction Duffing model, which is the first time this method has been used to extract soliton solutions in this particular setting. The equation is first reformulated as a nonlinear ordinary differential equation using traveling wave transformation. The approach proves particularly effective in handling nonlinear partial differential equations, yielding hyperbolic, Jacobi elliptic, trigonometric, and exponential function solutions under appropriate parameter constraints. A variety of innovative solutions emerge, including periodic wave solutions, dark compacton waves, kink waves, singular kink waves, bright solitons, breather waves, and singular-shaped solitons via the Kumar–Malik method. The solutions are then shown visually to demonstrate the wave behavior under various conditions. Our findings enhance the comprehension of the Duffing equation's behavior across different physical contexts. The research uses extensive 2D and 3D graphic plot solutions of the proposed solutions for a better graphical understanding of the physical perimeters of solutions and proves the feasibility of the proposed method in solving complex nonlinear equations. The Chaotic analysis has also been discussed by perturbation term and initial conditions. It is important to note that the proposed methods are competent, credible, and interesting analytical tools for solving nonlinear partial differential equations. In addition, these solutions represent a valuable resource for the understanding of the complex behavior of physical systems, as well as for inspiring future research. © 2025 The Authors
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10300 - Physical sciences
Result continuities
Project
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Continuities
O - Projekt operacniho programu
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Results in Physics
ISSN
2211-3797
e-ISSN
2211-3797
Volume of the periodical
72
Issue of the periodical within the volume
2025
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
24
Pages from-to
108203
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-105000764898