Investigated in this paper is an extended (3+ 1)-dimensional Kadomtsev-Petviashvili
equation. We determine the N-soliton solutions of that equation via an existing bilinear form …

Dark solitons are widely applied in optical fiber communication system due to the
characteristics of strong anti-interference and slow attenuation. The coupled nonlinear …

In this paper, we investigate the forward problems on the data-driven rational solitons for the
(2+ 1)-dimensional Kadomtsev–Petviashvili-I (KP-I) equation and spin-nonlinear …

In this paper we consider two-dimensional (2D) rogue waves that can be obtained from the
approximate solution of the (2+ 1)-dimensional nonlinear Schrödinger (NLS) equation with …

Rogue waves are ubiquitous in nature, appearing in a variety of physical systems ranging
from acoustics, microwave cavities, optical fibers, and resonators to plasmas, superfluids …

In this paper, modulation instability and nonlinear supratransmission are investigated in a
one-dimensional chain of atoms using cubic–quartic nonlinearity coefficients. As a result, we …

The propagation of ultrafast pulses in dispersion-engineered waveguides, exhibiting strong
field confinement in both space and time, is a promising avenue towards single-photon …

Using the generalized nonlinear Schrödinger equation, we investigate how the effect of self-
steepening and Raman-induced self-frequency shift impact higher-order rogue-wave …

Abstract The defocusing (2+ 1)-dimensional Zakharov system describes beams that involve
three independent variables: the propagation distance and two orthogonal coordinates …

Abstract The (2+ 1)-dimensional nonlinear asymmetric Nizhnik-Novikov-Veselov system is
one of the extended versions of the Korteweg-de Vries equation, and as such of …