In this paper, we investigate the (2+ 1)-dimensional nonlinear Schrödinger equation (NLSE)
which characterizes the transmission of optical pulses through optical fibers exhibiting …

The present paper explores a high-order nonlinear Schrödinger equation in a non-Kerr law
media with the weak non-local nonlinearity describing solitons' propagation through …

For a variable-coefficient Korteweg–de Vries equation in a lake/sea, two-layer liquid,
atmospheric flow, cylindrical plasma or interactionless plasma, in this paper, we derive the …

The study focuses on the combination of three mathematical models, namely nonlinear
Schrödinger's equation, Lakshmanan–Porsezian–Daniel model, and Sasa–Satsuma model …

In this paper, the derivative nonlinear Schrödinger equation with time-dependent-coefficient
coefficients (DNLS) has been studied. This model is widely used in the hydrodynamic wave …

In this paper, using Lie symmetry method, some new soliton and doubly periodic solutions of
the complex Ginzburg–Landau equation (CGLE) with two forms of nonlinearity are obtained …

In this paper, a generalized quasi-1D Bose–Einstein condensate system with contact
repulsion and dipole–dipole attraction (QBECS) and with the local M-derivative of order α is …

In this work, the perturbed nonlinear Schrödinger's equation (NLSE) with self-phase
modulation (SPM) of Kudryashov's sextic power law which describes the soliton's …

In this paper, the variable-coefficient fourth-order nonlinear Schrödinger system, which is
used to depict the simultaneous propagation of ultrashort optical pulses in an …

In this work, some new exact solitary wave solutions of the perturbed cubic-quartic complex
Ginzburg–Landau equation (CQ-CGLE) are obtained. Using a traveling wave ansatz, the …