Under the current study is the Fokas system that is used to model the nonlinear pulse
propagation in monomode optical fibers. By using the extended rational sine-cosine and …

We design and implement quantum circuits for the simulation of the one-dimensional wave
equation on the Quantinuum H1-1 quantum computer. The circuit depth of our approach …

The main goal of this paper is to obtain the exact solutions of the stochastic real-valued
Ginzburg–Landau equation, which is forced by multiplicative noise in the Itô sense. It is …

This work aims to explore new bidirectional-wave solutions to the generalized doubly
dispersive equation through the use of two effective integration schemes: the modified …

In this research article, we propose a novel approach called the “new Inverse (G′/G)-
Expansion Method” to discover new exact soliton solutions for the (2+ 1)-dimensional …

Our work presents a novel insight into a higher dimensional Kadomtsev–Petviashvili (KP)
model, wherein we observe that the propagation of the proposed model is characterized by …

The significance of different types of periodic solutions in nonlinear equations is vital across
various practical applications. Our objective in this study was to uncover novel forms of …

Our goal in this paper is to obtain the travelling wave solutions of the (4+ 1)-dimensional
Davey–Stewartson–Kadomtsev–Petviashvili equation (DSKPE), which considered as a …

A new two-mode version of the generalized Zakharov-Kuznetsov equation is derived using
Korsunsky's method. This dynamical model describes the propagation of two-wave solitons …

In this paper we introduce a new type of KdV equations called Two-mode KdV (TMKdV).
This equation represents the propagation of two-wave modes in the same direction …