Fractional isospectral and non-isospectral AKNS hierarchies and their analytic methods for N-fractal solutions with Mittag-Leffler functions

Fractional isospectral and non-isospectral AKNS hierarchies and their analytic methods for N-fractal solutions with Mittag-Leffler functions

Abstract Ablowitz–Kaup–Newell–Segur (AKNS) linear spectral problem gives birth to many important nonlinear mathematical physics equations including nonlocal ones. This paper derives two fractional order AKNS hierarchies which have not been reported in the literature by equipping the AKNS spectral pr...

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Bibliographic Details
Main Authors: Bo Xu, Yufeng Zhang, Sheng Zhang
Format: Article
Language:English
Published: SpringerOpen 2021-04-01
Series:Advances in Difference Equations
Subjects:
Fractional order isospectral AKNS hierarchy
Fractional order non-isospectral AKNS hierarchy
Local fractional order partial derivative
N-fractal solutions with Mittag-Leffler functions
Hirota bilinear method
Inverse scattering transform
Online Access:https://doi.org/10.1186/s13662-021-03374-0

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