Fractional isospectral and non-isospectral AKNS hierarchies and their analytic methods for \(N\)-fractal solutions with Mittag-Leffler functions
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Publication:2166950
DOI10.1186/s13662-021-03374-0zbMath1494.35172OpenAlexW3165066299MaRDI QIDQ2166950
Publication date: 25 August 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-021-03374-0
inverse scattering transformHirota bilinear methodfractional order isospectral AKNS hierarchyfractional order non-isospectral AKNS hierarchy
Fractional derivatives and integrals (26A33) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Fractional partial differential equations (35R11)
Cites Work
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- Influence of hierarchic structure on the moisture permeability of biomimic woven fabric using fractal derivative method
- Two \((2+1)\)-dimensional hierarchies of evolution equations and their Hamiltonian structures
- A tutorial review on fractal spacetime and fractional calculus
- Local fractional similarity solution for the diffusion equation defined on Cantor sets
- A generalized Tu formula and Hamiltonian structures of fractional AKNS hierarchy
- Integrable theory of the perturbation equations.
- Lax integrability and exact solutions of a variable-coefficient and nonisospectral AKNS hierarchy
- The mean value theorem and Taylor's theorem for fractional derivatives with Mittag-Leffler kernel
- A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel
- Complex solitons in the conformable \((2+1)\)-dimensional Ablowitz-Kaup-Newell-Segur equation
- An analytical approach to obtain exact solutions of some space-time conformable fractional differential equations
- An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives
- On generating (2+1)-dimensional hierarchies of evolution equations
- Fractional soliton dynamics and spectral transform of time-fractional nonlinear systems: A concrete example
- Two pairs of Lie algebras and the integrable couplings as well as the Hamiltonian structure of the Yang hierarchy
- Lie Algebras for Constructing Nonlinear Integrable Couplings
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy
- Fractional differentiability of nowhere differentiable functions and dimensions
- Solving the AKNS Hierarchy by Its Bilinear Form: Generalized Double Wronskian Solutions
- On a generalized Ablowitz–Kaup–Newell–Segur hierarchy in inhomogeneities of media: soliton solutions and wave propagation influenced from coefficient functions and scattering data
- Solutions of Nonlocal Equations Reduced from the AKNS Hierarchy
- Integrals of nonlinear equations of evolution and solitary waves
- New numerical simulation for fractional Benney–Lin equation arising in falling film problems using two novel techniques
- Analytical and numerical study of the HIV‐1 infection of CD4+ T‐cells conformable fractional mathematical model that causes acquired immunodeficiency syndrome with the effect of antiviral drug therapy
