Super-Hamiltonian structures and conservation laws of a new six-component super-Ablowitz-Kaup-Newell-Segur hierarchy

DOI10.1155/2014/214709zbMath1472.37076OpenAlexW2105980787WikidataQ59036110 ScholiaQ59036110MaRDI QIDQ1722361

Fucai You, Jiao Zhang, Yan Zhao

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/214709

zbMATH Keywords

AKNS hierarchyLie superalgebras

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie algebras and superalgebras to integrable systems (17B80) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Related Items (1)

Nonlinear superintegrable couplings for supercoupled KdV hierarchy with self-consistent sources

Cites Work

• A super soliton connection
• A new super extension of Dirac hierarchy
• Darboux transformations for supersymmetric Korteweg-de Vries equations
• Integrable couplings of the generalized AKNS hierarchy with an arbitrary function and its bi-Hamiltonian structure
• Nonlinear super integrable Hamiltonian couplings
• Nonlinear Super Integrable Couplings of Super Dirac Hierarchy and Its Super Hamiltonian Structures
• Hamiltonian structure of the super evolution equation
• A supertrace identity and its applications to superintegrable systems
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• A powerful approach to generate new integrable systems
• An approach to generate superextensions of integrable systems

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