Maccari's system serves as a valuable tool in various mathematical disciplines, contributing
to the understanding of complex dynamics, control theory, synchronization phenomena, and …

This work focuses on the accuracy and numerical strategies for solving the fractional
Chaffee–Infante (CIE) equation in (2+ 1) dimensions computationally. This model illustrates …

This study attempts to investigate the dynamic study of the three-component coupled NLS-
type equations. The unified Riccati equation expansion method and the generalized …

This paper studies the new Kudryashov approach for deriving optical solutions for a time-
fractional nonlinear Schrödinger equation. The equation incorporates Kudryashov's arbitrary …

Study of the water waves remains central to fluid physics, ocean dynamics, and engineering.
In this paper, a (3+ 1)-dimensional extended shallow water wave equation is investigated …

The main attention of this work is to study the bifurcations and optical solitons for the cubic–
quartic nonlinear Lakshmanan–Porsezian–Daniel equation in polarization-preserving fibers …

The traveling wave solutions and soliton solutions of the conformable M-fractional modified
nonlinear Schrödinger equation have been devised in this work by employing the …

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 manuscript, under consideration model is the decoupled nonlinear Schrodinger
equation (NLSE) arising in dual-core optical fibers. The NLSEs have become more popular …

The characteristics of lump solutions are investigated using a new (3+ 1)-dimensional
negative order KdV-Calogero-Bogoyavlenskii-Schiff model with a bilinear representation …