An integrable generalization of the super AKNS hierarchy and its bi-Hamiltonian formulation

DOI10.1016/j.cnsns.2016.06.033zbMath1466.35309OpenAlexW2465343838MaRDI QIDQ2004999

Jingwei Han, Shou-Ting Chen, Jing Yu, Wen-Xiu Ma

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.06.033

zbMATH Keywords

self-consistent sourcesLie super-algebrasuper Hamiltonian structure

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Applications of Lie algebras and superalgebras to integrable systems (17B80) Geometric theory, characteristics, transformations in context of PDEs (35A30) Soliton solutions (35C08)

Related Items (4)

Generalized integrable hierarchies of AKNS type, super Dirac type and super NLS-mKdV type ⋮ A integrable generalized super-NLS-mKdV hierarchy, its self-consistent sources, and conservation laws ⋮ Completion of the Guo-Hierarchy Integrable Coupling with Self-Consistent Sources in a Nonlinear Wave System ⋮ A generalized non-isospectral super AKNS hierarchy associated with the orthosymplectic Lie superalgebra \(osp(2, 2)\)

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