The focusing non-linear Schrödinger (NLS) equation is the simplest universal model
describing the modulation instability (MI) of quasimonochromatic waves in weakly non-linear …

Polarization-division multiplexed (PDM) transmission based on the nonlinear Fourier
transform (NFT) is proposed for optical fiber communication. The NFT algorithms are …

We study the dynamics of Kuznetsov-Ma solitons (KMSs) in the framework of vector
nonlinear Schrödinger (Manakov) equations. An exact multiparameter family of solutions for …

Rogue waves in the nonlocal PT PT-symmetric nonlinear Schrödinger (NLS) equation are
studied by Darboux transformation. Three types of rogue waves are derived, and their …

The focusing nonlinear Schrödinger (NLS) equation is the simplest universal model
describing the modulation instability (MI) of quasi monochromatic waves in weakly nonlinear …

The dynamics of Fermi-Pasta-Ulam (FPU) recurrence in a Manakov system is studied
analytically. Exact Akhmediev breather (AB) solutions for this system are found that cannot …

Abstract The focusing Nonlinear Schrödinger (NLS) equation is the simplest universal model
describing the modulation instability (MI) of quasi monochromatic waves in weakly nonlinear …

We present exact multiparameter families of soliton solutions for two-and three-component
Manakov equations in the defocusing regime. Existence diagrams for such solutions in the …

We derive general rogue wave solutions of arbitrary orders in the Boussinesq equation by
the bilinear Kadomtsev–Petviashvili (KP) reduction method. These rogue solutions are given …

We developed an exact theory of the superregular breathers (SRBs) of Manakov equations.
We have shown that the vector SRBs do exist both in the cases of focusing and defocusing …