In this review we present recent theoretical and experimental progress on modulation
instability and parametric amplification processes in dispersion oscillating fibers. These …

We show that the nonlinear stage of the universal phenomenon of modulational instability,
and in particular its recurrent behavior, is deeply affected by arbitrarily weak losses. Indeed …

We show that, in the pure-quartic systems, modulation instability (MI) undergoes heteroclinic-
structure transitions (HSTs) at two critical frequencies of ω c 1 and ω c 2 (ω c 2> ω c 1) …

The observation of ideal four-wave mixing dynamics is notoriously difficult to implement
experimentally due to the generation of higher-order sidebands and optical loss, which limit …

We study superregular (SR) breathers (ie, the quasi-Akhmediev breather collision with a
certain phase shift) in a complex modified Korteweg-de Vries equation. We demonstrate that …

We report an exact link between Zakharov-Gelash super-regular (SR) breathers (formed by
a pair of quasi-Akhmediev breathers) with interesting different nonlinear propagation …

We experimentally investigate two cycles of Fermi–Pasta–Ulam–Tsingou recurrence in
optical fibers. Using three waves input, we characterize the distance of maximum …

We investigate pattern formation in two-dimensional Bose-Einstein condensates (BECs)
caused by temporal periodic modulation of the interatomic interaction. Temporal modulation …

We investigate the nonlinear evolutions of modulation instability (MI) under the interaction of
Kerr nonlinearity with pure higher, even-order dispersion (HEOD) by using the truncating …

We report empirical observations of magnetic island heteroclinic bifurcation for the first time.
This behavior is observed in interacting coupled 2/1 tearing modes in the core of a DIII-D …