Quasi-periodic solutions for some \(2+1\)-dimensional discrete models
type: Item
instance of: scholarly article
title: Quasi-periodic solutions for some \(2+1\)-dimensional discrete models
zbMATH Open document ID: 1008.70011
DOI: 10.1016/S0378-4371(02)01395-X
published in: Physica A
publication date: 2003-02-05T00:00:00Z
Mathematics Subject Classification ID: 70H06
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37N05
zbMATH DE Number: 1864895
zbMATH Keywords: \(1+1\)-dimensional nonlinear network equations
zbMATH Keywords: Volterra system
zbMATH Keywords: finite-dimensional integrable Hamiltonian systems
author: Xianguo Geng
author: Huihui Dai
MaRDI profile type: Publication
cites work: Q3732103
cites work: Q3679549
cites work: Q3995225
cites work: Q4002235
cites work: Q4303160
cites work: Bilinear transformation method
cites work: Q4304304
cites work: Nonlinearization of the Lax system for AKNS hierarchy
cites work: C Neumann and Bargmann systems associated with the coupled KdV soliton hierarchy
cites work: Relation between the Kadometsev–Petviashvili equation and the confocal involutive system
cites work: From the special 2 + 1 Toda lattice to the Kadomtsev-Petviashvili equation
cites work: Decomposition of the \((2+1)\)-dimensional Gardner equation and its quasi-periodic solutions
cites work: Quasi-periodic solutions for some \((2+1)\)-dimensional integrable models generated by the Jaulent-Miodek hierarchy
cites work: Quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation
cites work: On the decomposition of the modified Kadomtsev-Petviashvili equation and explicit solutions
cites work: Complete integrability of nonlinear network equations describing a Volterra system
cites work: On the relation of the stationary Toda equation and the symplectic maps
cites work: Finite-dimensional discrete systems and integrable systems through nonlinearization of the discrete eigenvalue problem
cites work: Involutive solutions for toda and langmuir lattices through nonlinearization of lax pairs
cites work: Integrable symplectic maps
cites work: Q4167627
cites work: Q4846449
cites work: Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
cites work: Theory of nonlinear lattices.
full work available at URL: s0378-4371(02)01395-x
OpenAlex ID: W2015727330
description: scientific article; zbMATH DE number 1864895