The study of Bose–Einstein condensation (BEC) in lower dimensions plays an important role
in understanding the fundamentals of many-body physics as they can be treated …

A cubic-quintic inhomogeneous nonautonomous nonlinear Schrödinger (NLS) equation with
an external trap, self-steepening, and self-frequency shift that models the transmission of …

We report the existence of vector rogue waves in a coupled Bose-Einstein condensate,
trapped in a bichromatic optical lattice, which is an appropriate platform for quantum …

We examine the generation of bright matter-wave solitons in the Gross-Pitaevskii equation
describing Bose-Einstein condensates with a time-dependent complex potential, which is …

We investigate geometric resonances in Bose–Einstein condensates by solving the
underlying time-dependent Gross–Pitaevskii equation for systems with two-and three-body …

We investigate exact nonlinear matter wave functions with odd and even parities in the
framework of quasi-two-dimensional Bose–Einstein condensates (BECs) with spatially …

We establish the condition of modulational instability (MI) in one-dimensional effective one-
component self-bound quantum droplets and Bose–Bose (BB) mixture, coupled through …

Unlike the Hodgkin-Huxley picture in which the nerve impulse results from ion exchanges
across the cell membrane through ion-gate channels, in the so-called soliton model the …

We study the stabilization of a trapless Bose–Einstein condensate by analysing the mean-
field Gross–Pitaevskii equation with attractive two-and three-body interactions through both …

By introducing a suitable ansatz and employing the similarity transformation technique, we
construct the first-and second-order rational solutions for a quasi-one-dimensional (1D) …