%0 Journal Article
%T An Eight Component Integrable Hamiltonian Hierarchy from a Reduced Seventh-Order Matrix Spectral Problem
%A Savitha Muthanna
%A Wen-Xiu Ma
%J Journal of Applied Mathematics and Physics
%P 2102-2111
%@ 2327-4379
%D 2024
%I Scientific Research Publishing
%R 10.4236/jamp.2024.126128
%X 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.
%K Matrix Spectral Problem
%K Zero Curvature Equation
%K Lax Pair
%K Integrable Hierarchy
%K NLS Equations
%K mKdV Equations
%K Hamiltonian Structure
%K Lie Bracke
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=133949