The pioneering paper'Optical rogue waves' by Solli et al (2007 Nature 450 1054) started the
new subfield in optics. This work launched a great deal of activity on this novel subject. As a …

Modulation instability is a fundamental process of nonlinear science, leading to the unstable
breakup of a constant amplitude solution of a physical system. There has been particular …

We study the nonlinear waves on constant backgrounds of the higher-order generalized
nonlinear Schrödinger (HGNLS) equation describing the propagation of ultrashort optical …

Optical fibres are favourable tabletop laboratories to investigate both coherent and
incoherent nonlinear waves. In particular, exact solutions of the one-dimensional nonlinear …

Turbulence in dynamical systems is one of the most intriguing phenomena of modern
science. Integrable systems offer the possibility to understand, to some extent, turbulence …

We study a variable-coefficient nonlinear Schrödinger (vc-NLS) equation with higher-order
effects. We show that the breather solution can be converted into four types of nonlinear …

We present, experimentally and numerically, the observation of Fermi-Pasta-Ulam
recurrence induced by breather solitons in a high-Q SiN microresonator. Breather solitons …

Photonics enables to develop simple lab experiments that mimic water rogue wave
generation phenomena, as well as relativistic gravitational effects such as event horizons …

Instabilities are common phenomena frequently observed in nature, sometimes leading to
unexpected catastrophes and disasters in seemingly normal conditions. One prominent form …

In the present paper, we are concerned with the general analytic solutions to the complex
short pulse (CSP) equation including soliton, breather and rogue wave solutions. With the …