This manuscript retrieve lump soliton solution for geophysical Korteweg–de Vries equation
(GKdVE) with the help of Hirota bilinear method (HBM). We will also obtain lump–kink …

The pioneering paper'Optical rogue waves' by Solli et al (2007 Nature 450 1054) started the
new subfield in optics. This work launched a great deal of activity on this novel subject. As a …

In this paper, a nonlocal Lakshmanan–Porsezian–Daniel equation is investigated with the
help of the binary Darboux transformation method and asymptotic analysis. Nonlocality of …

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 …

The nonlinear Schrödinger equation is the standard model in nonlinear optics. The pulse
propagation in an isotropic medium can be described by this equation. This paper reports …

We study the nonlinear waves on constant backgrounds of the higher-order generalized
nonlinear Schrödinger (HGNLS) equation describing the propagation of ultrashort optical …

Doubly localized two-dimensional rogue waves for the Davey–Stewartson I equation in the
background of dark solitons or a constant, are investigated by employing the Kadomtsev …

We study a variable-coefficient nonlinear Schrödinger (vc-NLS) equation with higher-order
effects. We show that the breather solution can be converted into four types of nonlinear …

Under investigation in this letter are the two-dimensional doubly localized rogue waves on a
background of dark solitons for the Fokas system, which are described by semi-rational …

We study the existence and properties of rogue-wave solutions in different nonlinear wave
evolution models that are commonly used in optics and hydrodynamics. In particular, we …