The letter proposes a modified set of coupled two-dimensional (2D) cubic complex Ginzburg-
Landau (CGL) equations that include Rashba and Dresselhaus as well as helicoidal spin …

We introduce a vector form of the cubic complex Ginzburg-Landau equation describing the
dynamics of dissipative solitons in the two-component helicoidal spin-orbit coupled open …

We consider a cubic Gross-Pitaevskii (GP) equation governing the dynamics of Bose-
Einstein condensates (BECs) with time-dependent coefficients in front of the cubic term and …

We consider coupled dimensionless Gross-Pitaevskii (GP) equations that describes effective
coherently coupled Bose–Einstein condensates (BECs) trapped in external complex …

We investigate the modulational instability phenomenon and demonstrate that the
competing cubic–quintic nonlinearity induces propagating solitonlike bright (dark) solitons …

We show that the methodology based on the powerful method of the so-called hidden
symmetry reductions (HSR) provides a systematic way to analytically derive non …

We study rogue waves of Bose–Einstein condensate (BEC) analytically in a time-dependent
harmonic trap with a complex potential. Properties of the nonautonomous rogue waves are …

A cubic-quintic inhomogeneous nonautonomous nonlinear Schrödinger (NLS) equation with
an external trap, self-steepening, and self-frequency shift that models the transmission of …

The Turing and Benjamin–Feir instabilities are two of the primary instability mechanisms
useful for studying the transition from homogeneous states to heterogeneous spatial or …

A distributed electrical transmission network with dispersive elements that consists of a large
number of identical unit cells is considered. Using the reductive perturbation method in the …