Journal
THEORETICAL AND MATHEMATICAL PHYSICS
Volume 216, Issue 2, Pages 1180-1188Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S0040577923080093
Keywords
Lax pair; zero-curvature equation; integrable hierarchy; Hamiltonian structure; NLS equations; mKdV equations
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This paper formulates a class of higher-order matrix spectral problems and generates associated integrable hierarchies using the zero-curvature formulation. Hamiltonian structures are obtained using the trace identity to explore the Liouville integrability of the obtained hierarchies. Illuminating examples are provided using coupled nonlinear Schrodinger equations and coupled modified Korteweg-de Vries equations with four components.
A class of higher-order matrix spectral problems is formulated and the associated integrable hierarchies are generated via the zero-curvature formulation. The trace identity is used to furnish Hamiltonian structures and thus explore the Liouville integrability of the obtained hierarchies. Illuminating examples are given in terms of coupled nonlinear Schrodinger equations and coupled modified Korteweg-de Vries equations with four components.
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