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

We derive a general n-fold Darboux transformation (DT) matrix Tn for the integrable Sasa-
Satsuma equation. The elements of the matrix Tn are expressed in compact determinant …

We study experimentally the early stages of integrable turbulence of unidirectional deep
water gravity waves. By generating partially coherent waves in a 148-m-long wave flume, we …

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We study a third-order nonlinear Schrödinger equation for saturable nonlinear media, which
can represent either optical pulse propagation in 1D nonlinear waveguide arrays or electron …

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

Modulation instability of plane waves of the Hirota equation, an 'integrable'system with third
order dispersion, arises from the interplay of dispersive and nonlinear effects. The …

We use the bilinear Kadomtsev–Petviashvili (KP) hierarchy reduction method for deriving
new families of explicit lump–soliton solutions to the P T-symmetric nonlocal Fokas system …

We formulate a non-recursive Darboux transformation technique to obtain the general n th-
order rational rogue wave solutions to the coupled Fokas–Lenells system, which is an …

The Gardner equation is used as a generic model for internal waves and other phenomena.
We find interesting structures revealed by rational solutions of this equation. We show the …