A vector general nonlinear Schrödinger equation with (m+ n)(m+ n) components is
proposed, which is a new integrable generalization of the vector nonlinear Schrödinger …

A new vector long wave‐short wave‐type model is proposed by resorting to the zero‐
curvature equation. Based on the resulting Riccati equations related to the Lax pair and the …

A new two-component nonlinear wave system is studied by the generalized perturbation (n,
Nn n, Nn)-fold Darboux transformation, and various exotic localized vector waves are found …

Based on an introduced (n+ 2)×(n+ 2) matrix spectral problem, a vector Geng–Li model is
proposed, which is a vector generalization of the Geng–Li model. Employing the Riccati …

In this paper we propose a nonlocal Fokas–Lenells (FL) equation which can be derived from
the Kaup–Newell (KN) linear scattering problem. By constructing the Darboux transformation …

This study solves the coupled fractional differential equations defining the massive Thirring
model and the Kundu Eckhaus equation using the Natural transform decomposition method …

To show the properties and existence of vector nonlinear waves in a one-dimensional two-
component Bose–Einstein condensate system, we investigate the pair-transition-coupled …

This paper investigates the Darboux–Bäcklund transformation, breather and rogue wave
solutions for the generalized discrete Hirota equation. The pseudopotential of this equation …

In this paper, a semi-discrete matrix coupled dispersionless system is presented. A Lax pair
is proposed, and the Darboux transformation is employed to construct exact solutions to the …

This paper investigates the soliton solutions of Kundu–Eckhaus equation for birefringent
fibers, by employing two resourceful integration techniques, which are extended (G′/G) …