Sasa–Satsuma type matrix integrable hierarchies and their Riemann–Hilbert problems and soliton solutions

WX Ma - Physica D: Nonlinear Phenomena, 2023 - Elsevier
Sasa–Satsuma type matrix integrable hierarchies are generated from taking two group
reductions of replacing the spectral parameter with its complex conjugate and its negative in …

Integrable nonlocal nonlinear Schrödinger hierarchies of type (-λ*, λ) and soliton solutions

WX Ma - Reports on Mathematical Physics, 2023 - Elsevier
Two simultaneous nonlocal group constraints of the Ablowitz-Kaup-Newell-Segur matrix
eigenvalue problems are discussed, of which one constraint changes the eigenvalue …

[HTML][HTML] Nonlocal PT-symmetric integrable equations and related Riemann–Hilbert problems

WX Ma - Partial Differential Equations in Applied Mathematics, 2021 - Elsevier
We aim to discuss about how to construct and classify nonlocal PT-symmetric integrable
equations via nonlocal group reductions of matrix spectral problems. The nonlocalities …

[HTML][HTML] Soliton hierarchies and soliton solutions of type (− λ∗,− λ) reduced nonlocal nonlinear Schrödinger equations of arbitrary even order

WX Ma - Partial Differential Equations in Applied Mathematics, 2023 - Elsevier
We present mixed-type reduced soliton hierarchies of nonlocal integrable nonlinear
Schrödinger equations of arbitrary even order by conducting two nonlocal group reductions …

Riemann–Hilbert problems and inverse scattering of nonlocal real reverse-spacetime matrix AKNS hierarchies

WX Ma - Physica D: Nonlinear Phenomena, 2022 - Elsevier
We would like to propose a kind of nonlocal real reverse-spacetime integrable hierarchies of
PT-symmetric matrix AKNS equations through nonlocal symmetry reductions on the potential …

Soliton solutions to constrained nonlocal integrable nonlinear Schrödinger hierarchies of type

WX Ma - International Journal of Geometric Methods in Modern …, 2023 - World Scientific
The paper aims to generate nonlocal integrable nonlinear Schrödinger hierarchies of type (−
λ, λ) by imposing two nonlocal matrix restrictions of the AKNS matrix characteristic-value …

Nonlocal integrable mKdV equations by two nonlocal reductions and their soliton solutions

WX Ma - Journal of Geometry and Physics, 2022 - Elsevier
We conduct two nonlocal group reductions of the AKNS matrix spectral problems to
generate a class of nonlocal reverse-spacetime integrable mKdV equations. One reduction …

Binary Darboux transformation of vector nonlocal reverse-time integrable NLS equations

WX Ma - Chaos, Solitons & Fractals, 2024 - Elsevier
The aim of this paper is to study vector nonlocal reverse-time NLS (nonlinear Schrödinger)
equations and present a binary Darboux transformation by utilizing two sets of …

Type (λ⁎, λ) reduced nonlocal integrable AKNS equations and their soliton solutions

WX Ma - Applied Numerical Mathematics, 2024 - Elsevier
We construct a class of novel reduced nonlocal reverse-spacetime integrable AKNS
equations by taking two group reductions of the AKNS matrix spectral problems of arbitrary …

A novel kind of reduced integrable matrix mKdV equations and their binary Darboux transformations

WX Ma - Modern Physics Letters B, 2022 - World Scientific
A novel kind of reduced integrable matrix mKdV equations is generated from a group
reduction replacing the spectral parameter λ with− λ in the matrix AKNS spectral problems …