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Novikov, S.P., Manakov, S.V., Pitaevskii, L.P. and Zakharov, V.E. (1984) Theory of Solitons: The Inverse Scattering Method. Consultants Bureau, New York.

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.