Exact solutions of nonlinear differential equations are of great importance to the theory and
practice of complex systems. The main point of this review article is to discuss a specific …

" An exceptionally complete overview. There are numerous examples and the emphasis is
on applications to almost all areas of science and engineering. There is truly something for …

In this paper, we investigate a generalized AB system, which is used to describe certain
baroclinic instability processes in the geophysical flows. For the two short waves and mean …

In this paper, nonlocal reductions of the Ablowitz–Kaup–Newell–Suger (AKNS) hierarchy
are collected, including the nonlocal nonlinear Schrödinger hierarchy, nonlocal modified …

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 …

A two-component AB system, which describes the wave-packets in a baroclinic fluid, is
investigated in this paper. Bright one-and two-soliton solutions are constructed via the Hirota …

The Lorenz equations are derived systematically from amplitude equations of weakly
nonlinear dispersively unstable physical systems near criticality when weak dissipation is …

Investigated in this paper is a non-autonomous generalized AB system, which is used to
describe certain baroclinic instability processes in the geophysical flows. We discover that …

We study higher-order rogue wave (RW) solutions of the coupled integrable dispersive AB
system (also called Pedlosky system), which describes the evolution of wave-packets in a …

Two seminal papers (Lorenz [41], Ruelle and Takens [65]) in the recent development of the
study of aperiodic motions in dynamical systems both proceeded from a motivation …