Real reduced matrix mKdV integrable hierarchies under two local group reductions

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Cites Work

Unnamed Item
Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
Application of the Riemann-Hilbert approach to the multicomponent AKNS integrable hierarchies
Bi-integrable and tri-integrable couplings of a soliton hierarchy associated with \(\mathrm{SO}(3)\)
Dynamics of lump collision phenomena to the (3+1)-dimensional nonlinear evolution equation
On a nonlocal modified Korteweg-de Vries equation: integrability, Darboux transformation and soliton solutions
Solitons and dynamics for a general integrable nonlocal coupled nonlinear Schrödinger equation
A kind of nonisospectral and isospectral integrable couplings and their Hamiltonian systems
Riemann-Hilbert problems and inverse scattering of nonlocal real reverse-spacetime matrix AKNS hierarchies
Nonlocal integrable mKdV equations by two nonlocal reductions and their soliton solutions
The integrability of a new fractional soliton hierarchy and its application
Characterization of rational solutions of a KdV-like equation
Reduced non-local integrable NLS hierarchies by pairs of local and non-local constraints
Multi-component generalized Gerdjikov-Ivanov integrable hierarchy and its Riemann-Hilbert problem
Inverse scattering for nonlocal reverse-time nonlinear Schrödinger equations
Finite-dimensional Liouville integrable hamiltonian systems generated from Lax pairs of a bi-Hamiltonian soliton hierarchy by symmetry constraints
Nonlocal modified KdV equations and their soliton solutions by Hirota method
Solitons, breathers and rogue waves of the coupled Hirota system with \(4\times 4\) Lax pair
A kind of generalized integrable couplings and their bi-Hamiltonian structure
Riemann-Hilbert method and multi-soliton solutions of an extended modified Korteweg-de Vries equation with \(N\) distinct arbitrary-order poles
Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
Nonlinear Waves in Integrable and Nonintegrable Systems
On Liouville integrability of zero-curvature equations and the Yang hierarchy
Integrable Models
The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
Nonlocal nonlinear Schrödinger equations and their soliton solutions
Integrable Nonlocal Nonlinear Equations
Multiple lump solutions of the (2+1)‐dimensional Konopelchenko–Dubrovsky equation
Inverse scattering transforms and soliton solutions of nonlocal reverse‐space nonlinear Schrödinger hierarchies
Complexiton solutions to the asymmetric Nizhnik–Novikov–Veselov equation

This page was built for publication: Real reduced matrix mKdV integrable hierarchies under two local group reductions