An extended Merola-Ragnisco-Tu lattice integrable hierarchy and infinite conservation laws

DOI10.1016/J.AML.2024.108992zbMATH Open1546.37121MaRDI QIDQ6540934

Xin Wang

Publication date: 17 May 2024

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

conservation lawsdifferential-difference equationMerola-Ragnisco-Tu lattice equationdiscrete matrix spectral problem

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics; integrable lattice equations (37K60) Integrable difference and lattice equations; integrability tests (39A36)

Cites Work

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• Tri-Hamiltonian duality system of Merola-Ragnisco-Tu equation
• The conservation laws of some discrete soliton systems.
• A super Sasa-Satsuma hierarchy and bi-Hamiltonian structures
• A Darboux transformation for the Volterra lattice equation
• Darboux transformation and general soliton solutions for the reverse space-time nonlocal short pulse equation
• Integrable couplings of vector AKNS soliton equations
• A novel hierarchy of integrable lattices
• The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices
• Finite genus solutions of the generalized Merola–Ragnisco–Tu lattice hierarchy

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