A nonlocal finite-dimensional integrable system related to the nonlocal nonlinear Schrödinger equation hierarchy

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Integrable \(\mathcal{PT}\)-symmetric local and nonlocal vector nonlinear Schrödinger equations: a unified two-parameter model
Symmetry approach to the integrability problem
The relationship between Hamiltonian formalisms of stationary and nonstationary problems
The Lie-Poisson representation of the nonlinearized eigenvalue problem of the Kac-van Moerbeke hierarchy
Riemann-Hilbert problems and soliton solutions of nonlocal real reverse-spacetime mKdV equations
On a nonlocal modified Korteweg-de Vries equation: integrability, Darboux transformation and soliton solutions
Discrete multi-soliton solutions and dynamics for a reverse-time nonlocal nonlinear self-dual network equation
Long time asymptotics for the nonlocal mKdV equation with finite density initial data
Nonlocal modified KdV equations and their soliton solutions by Hirota method
Darboux transformations and global solutions for a nonlocal derivative nonlinear Schrödinger equation
Solitons and cavitons in a nonlocal Whitham equation
Degenerate and non-degenerate solutions of \(\mathcal{PT}\)-symmetric nonlocal integrable discrete nonlinear Schrödinger equation
\(N\)-soliton solutions for the nonlocal Fokas-Lenells equation via RHP
Finite-dimensional integrable systems: a collection of research problems
Two \((2+1)\)-dimensional soliton equations and their quasi-periodic solutions
Korteweg-de Vries equation: a completely integrable Hamiltonian system
Solutions to integrable space-time shifted nonlocal equations
Bäcklund transformations, symmetry reductions and exact solutions of (2+1)-dimensional nonlocal DS equations
Finite-dimensional integrable systems associated with the Davey-Stewartson I equation
Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation
Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
Complete integrability of nonlocal nonlinear Schrödinger equation
On the integrability of stationary and restricted flows of the KdV hierarchy
Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions
A new completely integrable Liouville’s system produced by the Kaup–Newell eigenvalue problem
On stationary problems for equations of korteweg-de vries type
A nonconfocal generator of involutive systems and three associated soliton hierarchies
Restricted flows of soliton hierarchies: coupled KdV and Harry Dym case
Periodic solutions of the KdV equation
The finite-band solution of the Jaulent–Miodek equation
Zeros of rational functions and solvable nonlinear evolution equations
Zeros of Polynomials and Solvable Nonlinear Evolution Equations
Inverse scattering and soliton solutions of nonlocal reverse-spacetime nonlinear Schrödinger equations
Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations
From nonlinear Schrödinger hierarchy to some (2+1)-dimensional nonlinear pseudodifferential equations
Integrals of nonlinear equations of evolution and solitary waves
C Neumann and Bargmann systems associated with the coupled KdV soliton hierarchy

This page was built for publication: A nonlocal finite-dimensional integrable system related to the nonlocal nonlinear Schrödinger equation hierarchy