A comparative review is given of some well-known and some recent results obtained in
studies of two-and three-dimensional (2D and 3D) solitons, with emphasis on states carrying …

Orbital angular momentum (OAM) of light is an important feature of structured
electromagnetic fields exhibiting non-uniform spatial distribution. In contrast to a spin …

A survey of some recent theoretical and experimental studies on localized structures that
form and propagate in a broad class of optical and matter-wave media is presented. The …

Our work presents a novel insight into a higher dimensional Kadomtsev–Petviashvili (KP)
model, wherein we observe that the propagation of the proposed model is characterized by …

Resonant collisions among localized lumps and line solitons of the Kadomtsev–Petviashvili I
(KP‐I) equation are studied. The KP‐I equation describes the evolution of weakly nonlinear …

We aim to construct a Liouville integrable Hamiltonian hierarchy from a specific matrix
spectral problem with four potentials through the zero curvature formulation. The Liouville …

To study controlled evolution of nonautonomous matter–wave solitons in spinor Bose–
Einstein condensates with spatiotemporal modulation, we focus on a system of three …

Understanding the phenomenon of rogue wave formation, often called extreme waves, in
diverse branches of nonlinear science has become one of the most attractive domains …

We address the existence and stability of vortex-soliton (VS) solutions of the fractional
nonlinear Schrödinger equation (NLSE) with competing cubic-quintic nonlinearities and the …

The general objective of the work is to study dynamics of dissipative solitons in the
framework of a one-dimensional complex Ginzburg-Landau equation (CGLE) of a fractional …