We introduce a vector form of the cubic complex Ginzburg-Landau equation describing the
dynamics of dissipative solitons in the two-component helicoidal spin-orbit coupled open …

The modulational instability (MI) process is exclusively studied in a two-component Bose-
Einstein condensate (BEC) which includes Rashba-Dresselhaus (RD) spin-orbit (SO) and …

Relativistic ion-acoustic waves are investigated in an electronegative plasma. The use of the
reductive perturbation method summarizes the hydrodynamic model to a nonlinear …

Exact bright, dark, antikink solitary waves and Jacobi elliptic function solutions of the
generalized Benjamin-Bona-Mahony equation with arbitrary power-law nonlinearity will be …

Exciton dynamics through a three-stranded\(\alpha\)-helix protein chain in the presence of
inter-spines and diagonal and off-diagonal couplings as well as long-range interactions are …

This work is dedicated to the construction of solitary wave solutions of the KdV-Burgers-
Kuramoto equation. The peculiarity of the solutions obtained for this purpose is that they …

We study the dynamics of Bose-Einstein condensate coupled to a waveguide with parity-
time symmetric potential in the presence of quadratic-cubic nonlinearity modelled by Gross …

The generalized Kuramoto-Sivashinsky equation is considered. The Bogning-Djeumen
Tchaho-Kofané method is used to study approximate solitary wave solutions of this …

By means of the F-expansion method and intensive numerical simulations, the existence of
three families of nonlinear matter waves including Jacobi elliptic functions, solitons, and …

A phase imprint approach is applied to a cubic Gross–Pitaevskii equation (GPE) in order to
obtain a modified non-autonomous derivative cubic–quintic nonlinear GPE with fully …