The Darboux transformation of the three-component coupled derivative nonlinear
Schrödinger equations is constructed. Based on the special vector solution generated from …

We consider a higher-order nonlinear Schrödinger equation that models the evolution of
ultrashort optical pulses in nonlinear media exhibiting nonlinearities up to the ninth order …

The spectra of rogue waves of Manakov equations that exist in both focusing and defocusing
regimes are derived in analytic form. These spectra are asymmetric during their whole …

The formation of rogue oceanic waves may be the result of different causes. Various factors
(winds, currents, dispersive focussing, depth, nonlinear focussing and instability) make this …

We consider the analytic vector breather and high-order rogue wave solutions for the
coupled nonlinear Schrödinger (NLS) equations with alternate signs of nonlinearities via …

Three-wave (triad) resonance in a uniformly stratified fluid is investigated as a case study of
energy transfer among oscillatory modes. The existence of a degenerate triad is …

The vector Lakshmanan–Porsezian–Daniel (vLPD) equations are mainly studied in this
paper. The Darboux-dressing transformation (DDT) and infinitely-many conservation laws of …

Using a similarity transformation, we obtain analytical solutions to a class of nonlinear
Schrödinger (NLS) equations with variable coefficients in inhomogeneous Kerr media …

We present exact explicit Peregrine soliton solutions based on a periodic-wave background
caused by the interference in the vector cubic-quintic nonlinear Schrödinger equation …

An integrable three-parameter fifth-order nonlinear Schrödinger equation with non-zero
boundary conditions was studied staring from its Lax pair and a robust inverse scattering …