In this paper, we use the binary Darboux transformation technique to derive an uniform
mathematical expression of all kinds of solutions to the (2+ 1)-dimensional asymmetric …

We obtain analytically the exact explicit rogue wave solutions up to the second order of the
vector Chen–Lee–Liu nonlinear Schrödinger equation, using the generalized non-recursive …

The N-fold Darboux transformation of the coupled Lakshmanan–Porsezian–Daniel (LPD)
equations is constructed. Based on the Darboux transformation and the limiting technique …

The dynamics of modulated waves in a nonlinear discrete transmission network with
dissipative elements are investigated analytically. The generalized cubic-quintic Ginzburg …

We use a nonrecursive Darboux transformation method to obtain a special hierarchy of
rogue wave solutions of the vector Lakshmanan–Porsezian–Daniel equation, which can …

Under investigation in this paper is a coupled mixed derivative nonlinear Schrödinger
equation, which can describe the pulse propagation in the femtosecond or picosecond …

We investigate both analytically and numerically the optical resonant radiation of bright,
dark, and Peregrine solitons in a phase-matched second-harmonic generation process …

The modulational instability of dust-acoustic wave (DAW) and dustcyclotron wave (DCW) in
a three-component plasma that consists of dust, ions, and electrons in a magnetized dusty …

Based on the combined Dicke, Bose-Hubbard, and Lipkin-Meshkov-Glick Hamiltonian, we
investigate the formation of photonic rogue waves, including their Akhmediev and Kuznetsov …

A family of super-regular (SR) breather solutions in systems with self-steepening effect and
in the case of either normal or anomalous dispersion is derived analytically. Derivation is …