This article negotiates the investigation of optical stochastic solitons and other exact
stochastic solutions with the fractional stochastic Biswas–Arshed equation (FSBAE) …

Abstract In this paper, the (1+ 1)-dimensional Biswas-Milovic equation with parabolic law
and nonlocal nonlinearity is studied. Firstly, the Biswas-Milovic equation with parabolic law …

This paper introduces novel findings in the investigation of new two-mode version of the
combined Schamel and KdV equations. The proposed model demonstrates the dynamics of …

In this study, we investigate the fractional coupled nonlinear Schrödinger equation
(FCNLSE) of Manakov type, which has numerous applications in different fields of physics …

In this manuscript, the density-dependent space-time fractional reaction–diffusion equation
in the sense of conformable and M-truncated derivatives (CMD) is presented. Through …

Abstract The Paraxial Model, a foundational concept in optics, provides a simplified yet
effective approach to understanding the behavior of light in optical systems. This research …

This paper reveals soliton solutions to (4+ 1)-dimensional Fokas equation, which is an
integrable extension of the Kadomtsev–Petviashvili (KP) and Davey–Stewartson (DS) …

In this study, we use analytical algorithms, specifically the auxiliary equation (AE) approach,
the improved F-expansion method, and the modified Sardar sub-equation (MSSE) method to …

Nonlinear evolution equations appear in various branches of physics, including fluid
dynamics, solid mechanics, quantum mechanics, and other fields. They are essential for …

This article analyzes the dynamics of waves to a new higher dimensional Kadomtsev−
Petviashvili equation. The higher dimensional Kadomtsev− Petviashvili equation and its …