Optical fiber communication has developed rapidly because of the needs of the information
age. Here, the variable coefficients fifth-order nonlinear Schrödinger equation (NLS), which …

In this work, we investigate the dynamical study of the (1+ 1)-dimensional Mikhailov-Novikov-
Wang (MNW) equation via the unified method. This technique is used to obtain the soliton …

This study employs the new extended direct algebraic method and improved sardar sub-
equation method to investigate solitary wave solutions in the Shynaray-IIA equation, which …

In this work, we use two extremely efficient methods, generalized Kudryashov (GK) and
generalized Riccati equation mapping (GREM), to extract various optical wave soliton …

Nonlinear evolution equations are used to describe such nonlinear phenomena as the
solitons, travelling waves and breathers in fluid mechanics, plasma physics and optics. In …

In this paper, the higher dimensional generalized Korteweg-de-Varies–Zakharov–Kuznetsov
(gKdV-ZK) equation is under investigation. This model is used in the field of plasma physics …

In this work, we propose a new improved modified generalized sub-ODE method for
constructing new solitons and traveling wave solutions, and also show the dynamical …

In this present paper, we obtain hyperbolic, exponential, trigonometric function, other soliton
solutions, and their combinations for the cold bosonic atoms in a zig-zag optical lattice …

There are many analytical methods for solving partial differential equations (PDEs), such as
the (G′ G)-expansion, the Ricatti transformation method, and many more. In this …

The generalized exponential rational function method is used in this work to obtain a variety
of rich families of analytical soliton solutions and to exemplify the dynamics of solitonic …