Randomized trial demonstrates the effects of fractional operators on traveling waves in turbulent plasmas, highlighting significant nonlinear behaviors.
Key Points
The research aims to explore fractional Kadomtsev–Petviashvili dynamics in turbulent plasmas, focusing on existence and properties of traveling-wave solutions.
Developed a Fourier pseudospectral Petviashvili iteration scheme for the fractional KP operator.
Validated numerical profiles using exponential time-differencing spectral methods.
Applied variational formulation and concentration-compactness arguments for existence proofs.
Proved existence of traveling-wave solutions with structural modifications due to fractional dispersive effects.
Validated profiles against the exact KP soliton with detailed convergence studies.
Demonstrated significant modifications in nonlinear plasma wave structures under turbulent conditions.