Infinitely many conservation laws and integrable discretizations for some lattice soliton equations

DOI10.1088/0305-4470/35/24/307zbMath1039.37067OpenAlexW1994837171WikidataQ57692566 ScholiaQ57692566MaRDI QIDQ4465864

Zuo-min Zhu, Zuo-nong Zhu, Xiao-Nan Wu, Wei-Min Xue

Publication date: 9 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/35/24/307

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Discrete version of topics in analysis (39A12) Lattice dynamics; integrable lattice equations (37K60)

Related Items (8)

A generalized integrable lattice hierarchy related to the Ablowitz–Ladik lattice: Conservation law, Darboux transformation and exact solution ⋮ A hierarchy of integrable differential-difference equations and Darboux transformation ⋮ Integrable discretizations and soliton solution of KdV and mKdV equations ⋮ Positive and negative integrable lattice hierarchies: conservation laws and \(N\)-fold Darboux transformations ⋮ Conservation laws for two \((2+1)\)-dimensional differential-difference systems ⋮ On soliton solutions of the relativistic Lotka-Volterra hierarchy ⋮ A unified construction for the algebro-geometric quasiperiodic solutions of the Lotka-Volterra and relativistic Lotka-Volterra hierarchy ⋮ Darboux transformations and new explicit solutions for the relativistic Volterra lattice

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