A Supersymmetric AKNS Problem and Its Darboux‐Bäcklund Transformations and Discrete Systems

DOI10.1111/sapm.12080zbMath1328.35205arXiv1501.06127OpenAlexW2963702415MaRDI QIDQ3450296

Ling-Ling Xue, Qing-Ping Liu

Publication date: 3 November 2015

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.06127

zbMATH Keywords

nonlinear Schrödinger equationsKorteweg-de Vries equationssinh-Gordon equationsDarboux and Bäcklund transformationsAbolowitz-Kaup-Newell-Sequr (AKNS) spectral problem

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (12)

Symbolic Representation and Classification of Supersymmetric Evolutionary Equations ⋮ Generalized integrable hierarchies of AKNS type, super Dirac type and super NLS-mKdV type ⋮ Four super integrable equations: nonlocal symmetries and applications ⋮ A super Sasa-Satsuma hierarchy and bi-Hamiltonian structures ⋮ A noncommutative discrete potential KdV lift ⋮ Supersymmetric Sawada-Kotera Equation: Bäcklund-Darboux Transformations and Applications ⋮ A supersymmetric generalized NLS equation: linear spectral problems and beyond ⋮ Bäcklund-Darboux transformations and discretizations of \(N=2a=-2\) supersymmetric KdV equation ⋮ On geometric aspects of the supersymmetric Fokas–Gel’fand immersion formula ⋮ On the \(3D\) consistency of a Grassmann extended lattice Boussinesq system ⋮ Integrable extensions of the Adler map via Grassmann algebras ⋮ Discrete potential Ablowitz–Kaup–Newell–Segur equation

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