Article citationsMore>>

Manukure, S. (2018) Finite-Dimensional Liouville Integrable Hamiltonian Systems Generated from Lax Pairs of a Bi-Hamiltonian Soliton Hierarchy by Symmetry Constraints. Communications in Nonlinear Science and Numerical Simulation, 57, 125-135.
https://doi.org/10.1016/j.cnsns.2017.09.016

has been cited by the following article:

• TITLE: An Eight Component Integrable Hamiltonian Hierarchy from a Reduced Seventh-Order Matrix Spectral Problem

  AUTHORS: Savitha Muthanna, Wen-Xiu Ma

  KEYWORDS: Matrix Spectral Problem, Zero Curvature Equation, Lax Pair, Integrable Hierarchy, NLS Equations, mKdV Equations, Hamiltonian Structure, Lie Bracke

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.6, June 21, 2024

  ABSTRACT: We present an eight component integrable Hamiltonian hierarchy, based on a reduced seventh order matrix spectral problem, with the aim of aiding the study and classification of multicomponent integrable models and their underlying mathematical structures. The zero-curvature formulation is the tool to construct a recursion operator from the spatial matrix problem. The second and third set of integrable equations present integrable nonlinear Schrödinger and modified Korteweg-de Vries type equations, respectively. The trace identity is used to construct Hamiltonian structures, and the first three Hamiltonian functionals so generated are computed.