Investigated in this paper is a quasigeostrophic two-layer model for the wave packets in a
marginally stable or unstable baroclinic shear flow. We find that the wave packets can be …

The AB system is a critical component of fluid dynamics, as it is capable of modeling the
nonlinear wave motions in two-layer fluids. In this study, we investigate soliton molecules …

In this paper, we perform a systematical study on the breathers of the AB system in fluids.
The expressions of the first-to third-order breather solutions are explicitly computed through …

In this paper, we consider an extended nonlinear Schrödinger equation that includes fifth-
order dispersion with matching higher-order nonlinear terms. Via the modified Darboux …

In this paper, we concentrate on the Hirota and Maxwell-Bloch (HMB) system governing the
propagation of the femtosecond pulse in an erbium doped fiber. We present the …

Under investigations in this paper is a variable-coefficient AB system, which describes the
marginally-unstable baroclinic wave packets in a geophysical fluid or ultra-short pulses in …

In this paper, we study the interactions and molecular wave patterns in the (3+ 1)-
dimensional B-type Kadomtsev–Petviashvili equation, which is available for nonlinear optics …

In this paper, we study a variable-coefficient nonlinear Schrödinger (vc-NLS) equation with
fourth-order effects describing an inhomogeneous one-dimensional continuum anisotropic …

Under investigation in this paper is the AB system, which is used to describe the baroclinic
instability processes in the geophysical flows. With the generalized Darboux transformation …

Under investigation in this article is a multi-component AB system which models the self-
induced transparency phenomenon. By using the modified Darboux transformation, we …