We use an effective one-dimensional Gross-Pitaevskii equation to study bright matter-wave
solitons held in a tightly confining toroidal trapping potential, in a rotating frame of reference …

In this study, using the extended sinh-Gordon equation expansion method, we construct the
dark, bright, combined dark-bright optical, singular, combined singular solitons and singular …

We study analytically and numerically the stability of the standing waves for a nonlinear
Schrödinger equation with a point defect and a power type nonlinearity. A major difficulty is …

We consider a matter-wave bright soliton interferometer composed of a harmonic potential
trap with a Rosen-Morse barrier at its center on which an incident soliton collides and splits …

The interaction of matter–wave solitons with a potential barrier is a fundamentally important
problem, and the splitting and subsequent recombination of the soliton by the barrier is the …

We study fast-moving bright solitons in the focusing nonlinear Schrödinger equation
perturbed by a narrow Gaussian potential barrier. In particular, we present a general and …

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We study bright solitons in the Gross-Pitaevskii equation as they are split and recombined in
a low-energy system. We present analytic results determining the general region in which a …

In this work, we examine the collision of an atomic dark–bright soliton, in a two-component
Bose–Einstein condensate, with a Gaussian barrier or well. Our study has both an …

We study nonlocal bright solitons subject to external spatially nonuniform potentials. If the
potential is slowly varying on the soliton scale, we derive analytical soliton solutions …