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This paper extends the Petviashvili method (PM) to the fractional nonlinear Schrödinger equation (fNLSE) to analyze its soliton solutions and their dynamics. The authors employ a spectral method using Fast Fourier Transform (FFT) for fractional-order derivatives and a 4th order Runge–Kutta algorithm for time integration, examining the effects of fractional derivative order on soliton properties. The study also explores soliton interactions with various potentials, demonstrating that soliton dynamics can be

Author

Đào Quang Anh

Language

EN