This review is dedicated to recent progress in the active field of rogue waves, with an
emphasis on the analytical prediction of versatile rogue wave structures in scalar, vector …

Soliton molecules which are the bound states of solitons have been experimentally
discovered in optics and theoretically investigated for coupled systems. This Letter is …

Resonant collisions of lumps with periodic solitons of the Kadomtsev–Petviashvili I equation
are investigated in detail. The usual lump is a stable weakly localized two-dimensional …

Soliton solutions of the KP equation have been studied since 1970, when Kadomtsev and
Petviashvili proposed a two-dimensional nonlinear dispersive wave equation now known as …

This article studies the propagation of the short pulse optical model governed by higher
order nonlinear Schrödinger equation (HNLSE) with non-Kerr nonlinearity. The model is …

There is considerable fundamental and applicative interest in obtaining nondiffractive and
nondispersive spatiotemporal localized wave packets propagating in optical cubic nonlinear …

We consider a high-order nonlinear Schrödinger equation with competing cubic–quintic–
septic nonlinearities, non-Kerr quintic nonlinearity, self-steepening, and self-frequency shift …

The synchronization of a class variable-coefficient complex networks with reaction-diffusion
terms is investigated. The objective of this article is to synthesize a state-feedback controller …

This paper investigates the Kadomtsev–Petviashvili I equation, which describes the variation
of shallow-water wave amplitude in the transverse direction, making it applicable to the …

By using the theory of bifurcations of planar dynamical systems to the generalized KP-MEW
equations, the existence of smooth and non-smooth travelling wave solutions is proved …