The Conservative and Efficient Numerical Method of 2-D and 3-D Fractional Nonlinear Schrödinger Equation Using Fast Cosine Transform

The Conservative and Efficient Numerical Method of 2-D and 3-D Fractional Nonlinear Schrödinger Equation Using Fast Cosine Transform

This paper introduces a novel approach employing the fast cosine transform to tackle the 2-D and 3-D fractional nonlinear Schrödinger equation (fNLSE). The fractional Laplace operator under homogeneous Neumann boundary conditions is first defined through spectral decomposition. The difference matrix...

Full description

Bibliographic Details
Main Authors: Peiyao Wang, Shangwen Peng, Yihao Cao, Rongpei Zhang
Format: Article
Language:English
Published: MDPI AG 2024-04-01
Series:Mathematics
Subjects:
nonlinear Schrödinger equation
fractional Laplace operator
optical solitons
conservation
Online Access:https://www.mdpi.com/2227-7390/12/7/1110

Internet

https://www.mdpi.com/2227-7390/12/7/1110

Similar Items