New hierarchies of integrable positive and negative lattice models and Darboux transformation

From MaRDI portal
Publication:2484706

DOI10.1016/j.chaos.2005.02.011zbMath1081.37040OpenAlexW2046637677MaRDI QIDQ2484706

Hai-Yong Ding, Hong-Xiang Yang, Xi-Xiang Xu

Publication date: 1 August 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.02.011




Related Items (20)

INTEGRABLE COUPLINGS FOR THE ABLOWITZ–LADIK LATTICE THROUGH ENLARGING ASSOCIATED LAX PAIRSA hierarchy of lattice soliton equations associated with a new discrete eigenvalue problem and Darboux transformationsJacobi elliptic function solutions of the Ablowitz-Ladik discrete nonlinear Schrödinger systemA deformed reduced semi-discrete Kaup-Newell equation, the related integrable family and Darboux transformationAn integrable lattice hierarchy, associated integrable coupling, Darboux transformation and conservation lawsTwo hierarchies of integrable lattice equations associated with a discrete matrix spectral problemTWO FAMILIES GENERALIZATION OF AKNS HIERARCHIES AND THEIR HAMILTONIAN STRUCTURESA generalized coth-function method for exact solution of differential-difference equation\(N\)-fold Darboux transformation and solitonic interactions for a Volterra lattice systemTwo families of Liouville integrable lattice equationsMixed function method for obtaining exact solution of nonlinear differential-difference equations and coupled NDDEsSemi-direct sums of Lie algebras and continuous integrable couplingsNew integrable lattice hierarchies and associated propertiesA discrete iso-spectral problem with positive and negative hierarchies and integrable coupling systemTwo \(3 \times 3\) discrete matrix spectral problems and associated Liouville integrable lattice soliton equationsA NEW INTEGRABLE LATTICE HIERARCHY AND ITS TWO DISCRETE INTEGRABLE COUPLINGSTHE NEGATIVE AND POSITIVE INTEGRABLE COUPLING HIERARCHIES DERIVED FROM A FOUR BY FOUR MATRIX SPECTRAL PROBLEMConstructing integrable coupling systems of Hamiltonian lattice equations using semi-direct sums of Lie algebrasSymmetry Constraint of the Differential-difference KP Hierarchy and a Second Discretization of the ZS-AKNS SystemTHE MODIFIED TODA LATTICE IN (2+1)-DIMENSIONS AND INTEGRABLE COUPLING SYSTEMS



Cites Work


This page was built for publication: New hierarchies of integrable positive and negative lattice models and Darboux transformation