Infinitely many conservation laws for two integrable lattice hierarchies associated with a new discrete Schrödinger spectral problem

DOI10.1016/S0375-9601(03)00350-5zbMath1020.37045OpenAlexW2060701025MaRDI QIDQ1866666

Qing Ding, Hon-Wah Tam, Zuo-nong Zhu

Publication date: 9 April 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(03)00350-5

zbMATH Keywords

conserved densitiesdiscrete spectral operator equationmatrix Lax representations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (2)

A new discrete integrable system derived from a generalized Ablowitz-Ladik hierarchy and its Darboux transformation ⋮ Conservation laws, bright matter wave solitons and modulational instability of nonlinear Schrödinger equation with time-dependent nonlinearity

Cites Work

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• New Matrix Lax Representation for a Blaszak–Marciniak Four-Field Lattice Hierarchy and Its Infinitely Many Conservation Laws

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