In this paper, we investigate a (3+ 1)-dimensional generalized Konopelchenko-Dubrovsky-
Kaup-Kupershmidt equation in plasma physics, fluid mechanics, and ocean dynamics …

Under investigation in this paper is a two‐component generalized Sasa–Satsuma equation
associated with a 4× 4 matrix spectral problem. We construct Darboux transformation for the …

In this paper, we study the dynamics of rogue waves on the double-periodic background for
a nonlinear Schrödinger equation with higher-order effects. First, we consider two types of …

We compare complex potential and Lagrangian approaches to perturbed soliton evolution in
systems described by the nonlinear Schrödinger equation with various terms added to it …

In this paper, we investigate various rational solutions of a (2+ 1)-dimensional nonlinear
equation with variable-coefficients which can describe the propagation of nonlinear waves …

A coupled cubic nonlinear Schrödinger (NLS) equations with external potentials in normal
dispersion regimes is considered. Combining the phase engineering technique with a …

We investigate the breathers and their interactions via the N th binary Darboux
transformation for the coupled nonlinear Schrödinger equations with negatively coherent …

In this paper, we present a systematic formulation of multi-breathers and higher-order rogue
wave solutions of a fourth-order nonlinear Schrödinger equation on the periodic …

The resonant interaction of an optical field with two-level doping ions in a cryogenic optical
fiber is investigated within the framework of nonlinear Schrödinger and Maxwell-Bloch …

The Darboux transformation for the coupled Fokas–Lenells equations and the special vector
solution of the corresponding Lax pair are constructed. Utilizing a limiting process, some …