Investigating higher dimensional Jimbo–Miwa nonlinear dynamics through phase portraits, sensitivity, chaos and soliton behavior
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10257688" target="_blank" >RIV/61989100:27740/25:10257688 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S2666818125000294?via%3Dihub#d1e12495" target="_blank" >https://www.sciencedirect.com/science/article/pii/S2666818125000294?via%3Dihub#d1e12495</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.padiff.2025.101101" target="_blank" >10.1016/j.padiff.2025.101101</a>
Alternative languages
Result language
angličtina
Original language name
Investigating higher dimensional Jimbo–Miwa nonlinear dynamics through phase portraits, sensitivity, chaos and soliton behavior
Original language description
The main focus of this article is on the development of new wave structures for the nonlinear (3+1)-dimensional Jimbo–Miwa equation. To solve the Jimbo–Miwa equation, a modified Khater method has been employed to generate various forms of soliton wave structures. Exact solutions to this equation are considered important for the complete understanding of the dynamics of waves in a physical model. The dynamic behavior of wave structures, including solutions for brilliant, single, dark, and periodic singular solitons, is enlightened by the obtained results. Selected solutions are plotted in both two- and three-dimensional graphs to illustrate their behavior. Furthermore, the system is converted into a planar dynamical system, and the derived solutions are examined using phase portraits to illustrate and demonstrate the theoretical results. Bifurcation and chaos theories are applied to enhance comprehension of the planar dynamical system that emerges from the examined system. Additionally, an investigation into the sensitivity of the provided model is conducted, revealing a moderate level of sensitivity and stability. These innovative concepts are utilized through symbolic computations to provide comprehensive and powerful mathematical tools for addressing various benign nonlinear problems. © 2025
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
10700 - Other natural 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
Partial Differential Equations in Applied Mathematics
ISSN
2666-8181
e-ISSN
2666-8181
Volume of the periodical
13
Issue of the periodical within the volume
March
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
10
Pages from-to
101101
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85216864339