Stochastic Solitonic Features of the Maccari Model
Author Information
Author(s): Abdelwahed Hesham G., Alotaibi Reem, El-Shewy Emad K., Abdelrahman Mahmoud A. E.
Primary Institution: Prince Sattam bin Abdulaziz University, Al-Kharj, Saudi Arabia
Hypothesis
How can the coupled Maccari system be analyzed under stochastic conditions with multiplicative noise?
Conclusion
The study presents new solitary wave solutions that can help prevent energy waves from collapsing in various physical contexts.
Supporting Evidence
- The Maccari system is used in various fields like hydrodynamics and nonlinear optics.
- New solutions include hyperbolic, trigonometric, and rational functions.
- The study provides visual representations of the solutions through 2D and 3D graphs.
- Increasing the random parameter can lead to significant changes in wave behavior.
Takeaway
This study looks at how random factors can change the behavior of waves in a model used for things like water and light. It shows new ways to understand these waves.
Methodology
The unified approach was used to derive new stochastic solutions for the coupled Maccari system in Itô sense with multiplicative noise.
Limitations
The study primarily focuses on the stochastic analysis without a comparative study with previous deterministic results.
Digital Object Identifier (DOI)
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