Quasi‐periodic solutions to a hierarchy of integrable nonlinear differential–difference equations

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Quasi-periodic solutions of the Kaup-Kupershmidt hierarchy
Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions
Hyperelliptic quasi-periodic and soliton solutions of the nonlinear Schrödinger equation
The periodic problem for the Korteweg-de Vries equation
The spectrum of Hill's equation
Algebro-geometric solutions of the Camassa-Holm hierarchy
Long-time asymptotics of the focusing Kundu-Eckhaus equation with nonzero boundary conditions
The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation
Darboux transformations for supersymmetric Korteweg-de Vries equations
A vector general nonlinear Schrödinger equation with \((m+n)\) components
Coupled discrete Sawada-Kotera equations and their explicit quasi-periodic solutions
Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy
Long-time asymptotics for the spin-1 Gross-Pitaevskii equation
Decomposition of the (2 + 1)- dimensional Gardner equation and its quasi-periodic solutions
Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
Theta functions and non-linear equations
Periodic solutions of the KdV equation
An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy
A New Approach to the Boussinesq Hierarchy
Relation between the Kadometsev–Petviashvili equation and the confocal involutive system
R-matrix approach to lattice integrable systems
ALGEBRO-GEOMETRIC SOLUTIONS OF THE BOUSSINESQ HIERARCHY
The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices
Trigonal curves and algebro-geometric solutions to soliton hierarchies I
Trigonal curves and algebro-geometric solutions to soliton hierarchies II
Algebro–geometric constructions of the discrete Ablowitz–Ladik flows and applications
混合Boussinesq 方程的有限亏格解
The Riemann–Hilbert approach to the generalized second-order flow of three-wave hierarchy
The complex Hamiltonian systems and quasi‐periodic solutions in the derivative nonlinear Schrödinger equations
On a vector long wave‐short wave‐type model
Quasi-periodic solutions of the negative-order Jaulent–Miodek hierarchy
Three-sheeted Riemann surface and solutions of the Itoh–Narita–Bogoyavlensky lattice hierarchy

This page was built for publication: Quasi‐periodic solutions to a hierarchy of integrable nonlinear differential–difference equations