An integrable lattice hierarchy, associated integrable coupling, Darboux transformation and conservation laws

DOI10.1016/j.amc.2011.11.094zbMath1257.37049OpenAlexW2016790655MaRDI QIDQ426655

Xiao-Yong Wen

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.11.094

zbMATH Keywords

Hamiltonian structureLiouville integrabilityDarboux transformationintegrable couplingintegrable lattice hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (10)

An integrable lattice hierarchy based on suris system: \(N\)-fold Darboux transformation and conservation laws ⋮ A generalized integrable lattice hierarchy related to the Ablowitz–Ladik lattice: Conservation law, Darboux transformation and exact solution ⋮ The coupled derivative nonlinear Schrödinger equation: conservation laws, modulation instability and semirational solutions ⋮ Dynamics of higher‐order rational and semi‐rational soliton solutions of the coupled modified KdV lattice equation ⋮ Soliton solutions and conservation laws for a generalized Ablowitz-Ladik system ⋮ Darboux transformation of the coupled nonisospectral Gross-Pitaevskii system and its multi-component generalization ⋮ An integrable lattice hierarchy for Merola-Ragnisco-Tu lattice: \(N\)-fold Darboux transformation and conservation laws ⋮ Matrix spectral problems and integrability aspects of the Błaszak-Marciniak lattice equations ⋮ New form \((2+1)\)-dimensional integrable lattice hierarchies with two shift operators Ẽ and Ê ⋮ A new lattice hierarchy: Hamiltonian structures, symplectic map and \(N\)-fold Darboux transformation

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