Exploring Advanced Soliton Solutions for the Stochastic Nonlinear System With Temporal Fractionality: Multiplicative Noise Intensity, Modulation Instability, and Chaotic Nature
Randomized trial explores chaotic behavior and soliton solutions in a stochastic nonlinear system, suggesting new insights into energy localization.
Key Points
The aim is to investigate the impact of multiplicative noise intensity and temporal fractionality on soliton solutions and chaotic behavior in a specific stochastic equation.
Applied the functional transformation method to the stochastic fractional new coupled Konno–Oono equation.
Examined various travelling wave solutions, including Jacobian elliptic, exponential, hyperbolic, and trigonometric forms.
Investigated the modulation instability and chaos in the context of the proposed model.
Demonstrated the creation of shock wave structures influenced by multiplicative noise intensity.
Found evidence for quasiperiodic and chaotic behavior within the nonlinear system.
Illustrated results through 3D diagrams revealing energy localization and spectrum widening in response to disturbances.