This article focuses on securing distinct optical solitons to optical fiber with the coupled
nonlinear Schrödinger equation. The examined equation is analyzed with the aid of …

In this research work, we employ the unified method, the extended sinh-Gordon equation
expansion method (ShGEEM), and the extended rational sine-cosine/sinh-cosh method to …

This article pays attention to secure the exact wave structures to the system of ion sound
under influence of ponderomotive force. It is caused by non-linear force and is experienced …

The ultimate focus of this research is to provide soliton solutions to the nonlinear differential-
difference equations via conformable fractional derivatives which arise from the polarization …

The (2+ 1)-dimensional Boussinesq equation plays a key role in modeling the shallow
water. In this work, we derive a new fractional (2+ 1)-dimensional Boussinesq equation …

This paper employs a novel $\varphi^{6} $-model expansion approach to get dark, bright,
periodic, dark-bright, and singular soliton solutions to the complex Ginzburg-Landau …

In this paper the optical pulses and other solitary wave solutions are extracted in dual-core
optical fibers. The decoupled nonlinear Schrodinger equation is taken as a controlling …

In this manuscript, we discuss the dynamical behavior of ill-posed Boussinesq (IPB)
dynamical wave equation. This equation depicts how long wave made in shallow water …

This article examines the third-order non-linear fractional Westervelt model by using a newly
developed integration tool termed the new extended direct algebraic approach. The different …

In this article, we focus on securing the different soliton and other solutions in the magneto
electro-elastic (MEE) circular rod. The abundant solutions of the nonlinear longitudinal wave …