Abstract Complex Ginzburg–Landau (CGL) equations serve as canonical models in a great
variety of physical settings, such as nonlinear photonics, dynamical phase transitions …

By taking the plane wave potentials as the seed solutions, we harness a binary Darboux
transformation to generate dark vector soliton solutions for multi-component nonlinear …

A black hole laser in analogues of gravity amplifies Hawking radiation, which is unlikely to
be measured in real black holes, and makes it observable. There have been proposals to …

We show that modulable discrete nonlinear transmission line can adopt Chameleon's
behavior due to the fact that, without changing its appearance structure, it can become …

The objective of this work is to study a monoatomic chain which is described by the Klein–
Gordon model with first and second neighbors anharmonic interactions. We consider …

The multi-component nonlinear Schrödinger equations (MNLS) are derived by extending the
single-component nonlinear Schrödinger equation to multiple interacting fields. These …

In the small amplitude limit, we use the reductive perturbation method and the continuum
limit approximation to derive a coupled nonlinear Schrö dinger (CNLS) equation describing …

Analogue systems are used to test Hawking radiation, which is hard to observe in actual
black holes. One such system is the electrical transmission line, but it suffers the inevitable …

We completely classify the conserved vectors of the Triki–Biswas equation describing
monomode optical fibres using the invariance and multiplier approach. For the general case …

In this present paper, we investigate analytically the dynamics of modulated waves in a
dissipative nonlinear network with nonlinear dispersion. In the small amplitude limit, we use …