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Exploring complex phenomena in fluid flow and plasma physics via the Schrödinger-type Maccari system
Naseem Abbas1, Akhtar Hussain2, Tarek F Ibrahim3
1Department of Mathematics, Quaid-i-Azam University, Islamabad, 44000, Pakistan. naseemabbas@math.qau.edu.pk.
Scientific Reports
|October 6, 2025
Summary
Researchers found new soliton solutions for the nonlinear Maccari system using advanced mathematical methods. These solutions help understand complex wave dynamics in physics and engineering.
Area of Science:
- Nonlinear dynamics
- Mathematical physics
- Wave phenomena
Background:
- The nonlinear coupled Maccari system describes isolated wave dynamics in various fields.
- Understanding these nonlinear systems is crucial for fluid flow, plasma physics, and nonlinear optics.
Purpose of the Study:
- To obtain novel soliton solutions for the nonlinear coupled Maccari system.
- To explore the dynamical features and graphical representations of these solutions.
Main Methods:
- Utilized the modified Jacobi elliptic expansion scheme.
- Employed the new extended hyperbolic function method.
- Applied wave variable alteration to simplify the system.
Main Results:
- Successfully obtained several precise soliton solutions for the Maccari system.
- Visualized solutions in 2D and 3D plots to aid understanding.
- Analyzed dynamical features including phase portraits and chaotic behavior.
Conclusions:
- The applied methods are effective for solving the Maccari system.
- The findings contribute to understanding complex nonlinear wave phenomena.
- The methods show potential for solving other nonlinear evolution equations.
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