Starting from a kind of higher-order matrix spectral problems, we generate integrable Hamiltonian hierarchies through the zero-curvature formulation. To guarantee the Liouville integrability of the obtained hierarchies, the trace identity… Click to show full abstract
Starting from a kind of higher-order matrix spectral problems, we generate integrable Hamiltonian hierarchies through the zero-curvature formulation. To guarantee the Liouville integrability of the obtained hierarchies, the trace identity is used to establish their Hamiltonian structures. Illuminating examples of coupled nonlinear Schrödinger equations and coupled modified Korteweg–de Vries equations are worked out.
Keywords:
hamiltonian hierarchies;
matrix spectral;
higher order;
integrable hamiltonian;
order matrix;
spectral problems
Journal Title: Mathematics
Year Published: 2023
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Journal Title: Mathematics
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!