An integrable lattice hierarchy based on suris system: \(N\)-fold Darboux transformation and conservation laws
type: Item
instance of: scholarly article
title: An integrable lattice hierarchy based on suris system: \(N\)-fold Darboux transformation and conservation laws
zbMATH Open document ID: 1390.37112
author: Qian Li
author: Deng-Shan Wang
author: Xiao-Yong Wen
author: Jian-Hong Zhuang
published in: Nonlinear Dynamics
publication date: 2018-06-14T00:00:00Z
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 6888408
zbMATH Keywords: integrable lattice hierarchy
zbMATH Keywords: Hamiltonian structure
zbMATH Keywords: \(N\)-fold Darboux transformation
zbMATH Keywords: soliton solutions
zbMATH Keywords: conservation laws
MaRDI profile type: Publication
full work available at URL: s11071-017-3898-y
OpenAlex ID: W2767243502
cites work: Method for Solving the Korteweg-deVries Equation
cites work: On the complete integrability of a nonlinear Schrödinger equation
cites work: Multiplier method and exact solutions for a density dependent reaction-diffusion equation
cites work: On Lr -regularity of global attractors generated by strong solutions of reaction-diffusion equations
cites work: A Nonlinear Difference Scheme and Inverse Scattering
cites work: A trace identity and its applications to the theory of discrete integrable systems
cites work: R-matrix approach to lattice integrable systems
cites work: Variational solutions for the discrete nonlinear Schrödinger equation
cites work: A new hierarchy of integrable differential-difference equations and Darboux transformation
cites work: Positive and negative hierarchies of integrable lattice models associated with a Hamiltonian pair
cites work: The conservation laws of some discrete soliton systems.
cites work: Darboux transformations and new explicit solutions for a Blaszak-Marciniak three-field lattice equation
cites work: An integrable semi-discretization of the coupled Yajima–Oikawa system
cites work: Recursion operators and conservation laws for discrete Lax equations
cites work: New integrable systems related to the relativistic Toda lattice
cites work: A constructive test for integrability of semi-discrete systems.
cites work: An integrable lattice hierarchy, associated integrable coupling, Darboux transformation and conservation laws
cites work: N-SOLITON SOLUTIONS AND CONSERVATION LAWS OF THE MODIFIED TODA LATTICE EQUATION
cites work: On the Integrability of a Generalized Variable‐Coefficient Forced Korteweg‐de Vries Equation in Fluids
cites work: Exact solutions for a perturbed nonlinear Schrödinger equation by using Bäcklund transformations
cites work: Turbulence and shock-waves in crowd dynamics
cites work: A new integrable \((3+1)\)-dimensional KdV-like model with its multiple-soliton solutions
cites work: New \((3+1)\)-dimensional equations of Burgers type and Sharma-Tasso-Olver type: multiple-soliton solutions
cites work: Rational solutions to an extended Kadomtsev-Petviashvili-like equation with symbolic computation
cites work: Nonautonomous rogue waves and `catch' dynamics for the combined Hirota-LPD equation with variable coefficients
cites work: Dynamics of nonautonomous discrete rogue wave solutions for an Ablowitz-Musslimani equation with PT-symmetric potential
DOI: 10.1007/S11071-017-3898-Y
Recommended article: Notes on ``A integrable lattice hierarchy based on Suris system: N-fold Darboux transformation and conservation laws''
Recommended article: An integrable lattice hierarchy, associated integrable coupling, Darboux transformation and conservation laws
Recommended article: An integrable lattice hierarchy for Merola-Ragnisco-Tu lattice: \(N\)-fold Darboux transformation and conservation laws
Recommended article: New hierarchies of integrable lattice equations and associated properties: Darboux transformation, conservation laws and integrable coupling
Recommended article: Hierarchy of lax integrable lattice equations, darboux transformation and conservation laws
Recommended article: Positive and negative integrable lattice hierarchies: conservation laws and \(N\)-fold Darboux transformations
Recommended article: A note on ``New hierarchies of integrable lattice equations and associated properties: Darboux transformation conservation laws and integrable coupling''
Recommended article: A generalized integrable lattice hierarchy related to the Ablowitz–Ladik lattice: Conservation law, Darboux transformation and exact solution
Recommended article: Integrable Hierarchy Covering the Lattice Burgers Equation in Fluid Mechanics: N -fold Darboux Transformation and Conservation Laws
Recommended article: A hierarchy of integrable lattice soliton equations and its integrable symplectic map
description: scientific article; zbMATH DE number 6888408