Properties of collective excitations in physical systems are determined, in generic situations,
by the interplay of a few fundamental ingredients: spatial dimension, external potential …

Spontaneous symmetry breaking, a spontaneous course of breaking the spatial symmetry
(parity) of the system, is known to exist in many branches of physics, including condensed …

We study scattering of a periodic wave in a string on two lumped oscillators attached to it.
The equations can be represented as a driven (by the incident wave) dissipative (due to …

In this paper, we incorporate new constrained conditions into N-soliton solutions for a (2+ 1)-
dimensional fourth-order nonlinear equation recently developed by Ma, resulting in the …

We investigate both analytically and numerically the scattering of one-dimensional quantum
droplets by a Pöschl-Teller reflectionless potential well, confirming that there is a sharp …

Discrete fundamental and dipole solitons are constructed, in an exact analytical form, in an
array of linear waveguides with an embedded PT-symmetric dimer, which is composed of …

Spontaneous symmetry breaking (SSB) occurs when modes of asymmetric profile appear in
a symmetric, double-well potential, due to the nonlinearity of the potential exceeding a …

We study two-component solitons and their symmetry-breaking bifurcations (SBBs) in
linearly coupled photonic systems with a spatially inhomogeneous strength of the coupling …

We obtain the spectrum of bound states for modified Pöschl-Teller and square-potential
wells in the nonlinear Schrödinger equation. For a fixed norm of bound states, the spectrum …

We consider the scattering of the nonlinear Schrödinger equation bright soliton by a
reflectionless Pöschl-Teller potential well. We show that at the sharp transition between …