A hierarchy of lattice soliton equations associated with a new discrete eigenvalue problem and Darboux transformations

DOI10.1515/ijnsns-2014-0119zbMath1401.37082OpenAlexW2562346754MaRDI QIDQ1660839

Ning Zhang, Tie-cheng Xia

Publication date: 16 August 2018

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2014-0119

zbMATH Keywords

soliton solutionsDarboux transformationdiscrete integrable lattice modelpositive and negative hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Difference operators (39A70) Applications of Lie algebras and superalgebras to integrable systems (17B80) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)

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