An integrable generalization of the super AKNS hierarchy and its bi-Hamiltonian formulation
type: Item
instance of: scholarly article
title: An integrable generalization of the super AKNS hierarchy and its bi-Hamiltonian formulation
zbMATH Open document ID: 1466.35309
author: Jing Yu
author: Wen-Xiu Ma
author: Jingwei Han
author: Shouting Chen
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2020-10-07T00:00:00Z
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 17B80
Mathematics Subject Classification ID: 35C08
zbMATH DE Number: 7257291
zbMATH Keywords: Lie super-algebra
zbMATH Keywords: super Hamiltonian structure
zbMATH Keywords: self-consistent sources
MaRDI profile type: Publication
full work available at URL: j.cnsns.2016.06.033
OpenAlex ID: W2465343838
cites work: The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
cites work: Q4016078
cites work: On the Bäcklund transformation and Hamiltonian properties of superevaluation equations
cites work: An approach to generate superextensions of integrable systems
cites work: A supertrace identity and its applications to superintegrable systems
cites work: BINARY NONLINEARIZATION OF THE SUPER AKNS SYSTEM
cites work: Binary nonlinearization of the super AKNS system under an implicit symmetry constraint
cites work: The Bargmann symmetry constraint and binary nonlinearization of the super Dirac systems
cites work: Nonlinear super integrable couplings of super Dirac hierarchy and its super Hamiltonian structures
cites work: A Super Extension of Kaup—Newell Hierarchy
cites work: Super-KN Hierarchy and Its Super-Hamiltonian Structure
cites work: Hamiltonian and super-Hamiltonian systems of a hierarchy of soliton equations
cites work: Two types of Lie super-algebra for the super-integrable tu-hierarchy and its super-Hamiltonian structure
cites work: Conservation laws for a super G-J hierarchy with self-consistent sources
cites work: Binary Darboux–Bäcklund transformations for the Manin–Radul super KdV hierarchy
cites work: Soliton solutions for the super mKdV and sinh-Gordon hierarchy
cites work: Fusion hierarchies for \(\mathcal N=4\) super-Yang-Mills theory
cites work: A class of soliton solutions for theN= 2 super mKdV/Sinh-Gordon hierarchy
cites work: A Darboux transformation of the \(\mathrm{sl}(2| 1)\) super KdV hierarchy and a super lattice potential KdV equation
cites work: A hierarchy of generalized AKNS equations, \(N\)-Hamiltonian structures and finite-dimensional involutive systems and integrable systems.
cites work: The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
cites work: Q3672401
cites work: The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. III
cites work: New integrable \(\mathrm{sl}(2,\mathbb{R})\)-generalization of the classical Wadati-Konno-Ichikawa hierarchy
cites work: Conservation laws and self-consistent sources for a super integrable equation hierarchy
DOI: 10.1016/J.CNSNS.2016.06.033
description: scientific article; zbMATH DE number 7257291