Optical rogue waves are rare, extreme fluctuations in the value of an optical field. The
term'optical rogue wave'was first used in the context of an analogy between pulse …

Extreme events, such as rogue waves, earthquakes, and stock market crashes, occur
spontaneously in many dynamical systems. Because of their usually adverse …

The phenomenon of Bose–Einstein condensation is a phase transition originally predicted
by Bose and Einstein in 1924. In particular, it was shown that below a critical temperature T …

We investigate the x-nonlocal Davey–Stewartson II equation based on Kadomtsev–
Petviashvili hierarchy reduction method, and then report dark solitons and (semi-) rational …

The focus of this paper is on the dynamics of degenerate and non-degenerate vector
solitons and their collision scenarios in the two-component long-wave–short-wave (2-LS) …

Dissipative Kerr solitons are localized structures that exist in nonlinear optical cavities. They
lead to the formation of microcombs—chip-scale frequency combs that could facilitate …

We derive generalized localized wave solution formula for mixed coupled nonlinear
Schödinger equations (mCNLSE) by performing the unified Darboux transformation. Based …

We examine the statistical properties of nonlinear random waves that are ruled by the one-
dimensional defocusing and integrable nonlinear Schrödinger equation. Using fast …

In this paper, we investigate the general localized waves on the nonvanishing background
for a coupled generalized nonlinear Schrödinger system with four wave mixing (FWM) effect …

In this paper, we consider an extended nonlinear Schrödinger equation that includes fifth-
order dispersion with matching higher-order nonlinear terms. Via the modified Darboux …