Algebro-geometric quasi-periodic solutions to the Bogoyavlensky lattice 2(3) equations
type: Item
instance of: scholarly article
title: Algebro-geometric quasi-periodic solutions to the Bogoyavlensky lattice 2(3) equations
author: Minxin Jia
author: Jiao Wei
author: Xianguo Geng
published in: Journal of Nonlinear Science
publication date: 2022-11-11T00:00:00Z
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37K20
Mathematics Subject Classification ID: 37K40
Mathematics Subject Classification ID: 14H42
Mathematics Subject Classification ID: 14H70
zbMATH DE Number: 7615128
zbMATH Keywords: Bogoyavlensky lattice 2(3) equations
zbMATH Keywords: tetragonal curves
zbMATH Keywords: algebro-geometric quasi-periodic solutions
MaRDI profile type: Publication
full work available at URL: s00332-022-09858-x
OpenAlex ID: W4304140225
cites work: A symplectic realization of the Volterra lattice
cites work: Continuum limit of the Volterra model, separation of variables and non-standard realizations of the Virasoro Poisson bracket
cites work: Q4303160
cites work: SOME CONSTRUCTIONS OF INTEGRABLE DYNAMICAL SYSTEMS
cites work: Master symmetries for differential-difference equations of the Volterra type
cites work: Computing Riemann matrices of algebraic curves
cites work: A New Approach to the Boussinesq Hierarchy
cites work: ALGEBRO-GEOMETRIC SOLUTIONS OF THE BOUSSINESQ HIERARCHY
cites work: Inverse problem for periodic finite-zoned potentials in the theory of scattering
cites work: NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES
cites work: Q4002564
cites work: Decomposition of the \((2+1)\)-dimensional Gardner equation and its quasi-periodic solutions
cites work: Quasi-periodic solutions of the Belov–Chaltikian lattice hierarchy
cites work: Decomposition of the Discrete Ablowitz–Ladik Hierarchy
cites work: Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions
cites work: Quasi-periodic solutions of the Kaup-Kupershmidt hierarchy
cites work: Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy
cites work: The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation
cites work: The application of the theory of trigonal curves to the discrete coupled nonlinear Schrödinger hierarchy
cites work: A vector general nonlinear Schrödinger equation with \((m+n)\) components
cites work: Long-time asymptotics for the spin-1 Gross-Pitaevskii equation
cites work: Q3527703
cites work: Q4846449
cites work: The Hamiltonian Structure of the Bogoyavlensky Lattice
cites work: Coupled discrete Sawada-Kotera equations and their explicit quasi-periodic solutions
cites work: On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
cites work: Integration of nonlinear equations by the methods of algebraic geometry
cites work: Elliptic solutions of nonlinear integrable equations and related topics
cites work: Periodic and almost-periodic potentials in inverse problems
cites work: Periodic solutions of the KdV equation
cites work: On a vector long wave‐short wave‐type model
cites work: Trigonal curves and algebro-geometric solutions to soliton hierarchies I
cites work: Trigonal curves and algebro-geometric solutions to soliton hierarchies II
cites work: Type \(( - \lambda, - \lambda^\ast)\) reduced nonlocal integrable mKdV equations and their soliton solutions
cites work: Nonlocal integrable mKdV equations by two nonlocal reductions and their soliton solutions
cites work: The Periodic Cubic Schrõdinger Equation
cites work: A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
cites work: 30 years of finite-gap integration theory
cites work: The spectrum of Hill's equation
cites work: Finite genus solutions to the Ablowitz‐Ladik equations
cites work: Q4697470
cites work: The periodic problem for the Korteweg-de Vries equation
cites work: Q3732103
cites work: Hyperelliptic quasi-periodic and soliton solutions of the nonlinear Schrödinger equation
cites work: The problem of integrable discretization: Hamiltonian approach
cites work: Reductions of the Volterra lattice
cites work: Q4477979
cites work: Recursion Operator of the Narita–Itoh–Bogoyavlensky Lattice
cites work: The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices
cites work: A finite-dimensional integrable system associated with the three-wave interaction equations
cites work: Multisoliton, multipositon, multinegaton, and multiperiodic solutions of a coupled Volterra lattice system and their continuous limits
DOI: 10.1007/S00332-022-09858-X
description: scientific article; zbMATH DE number 7615128