We propose integrable discretizations of derivative nonlinear Schrödinger (DNLS) equations
such as the Kaup–Newell equation, the Chen–Lee–Liu equation and the Gerdjikov–Ivanov …

We investigate soliton collisions in the Manakov model, which is a system of coupled
nonlinear Schrödinger equations that is integrable via the inverse scattering method …

We summarize the most featured items characterizing the semi-discrete nonlinear
Schrödinger system with background-controlled inter-site resonant coupling. The system is …

The scrupulous inspection of actual inter-site coupling in generalized Lotka–Volterra and
Ablowitz–Ladik nonlinear integrable systems with branched dispersion shows that the true …

We investigate the generalisations of the Quispel, Roberts and Thompson (QRT) family of
mappings in the plane leaving a rational quadratic expression invariant to the case of four …

An integrable nonlinear Schrödinger system on a triangular-lattice ribbon, whose geometric
configuration is similar to that of armchair boron nanotube, is studied in detail. The system …

A new spectral problem on one-dimensional lattices is found allowing consistently to support
the zero-curvature representation for a wide class of integrable nonlinear ladder systems …

Following the main principles of developing the evolutionary nonlinear integrable systems
on quasi-one-dimensional lattices, we suggest a novel nonlinear integrable system of …

A detailed description of four-component nonlinear Schrödinger system on zigzag-runged
ladder lattice is given. In order to support the equivalence between the two pairs of field …

We present the sequence of parametrically driven discrete nonlinear Schrödinger systems
with the progressively extending range of intersite couplings. In the case of time …