In this paper, a wide range of new exact solutions of the Kraenkel–Manna–Merle (KMM)
system is investigated. To study this, we have considered two analytical methods namely the …

The Zoomeron model is applied to various types of solitons arising in fluid mechanics, laser
optics, and nonlinear physics. We derive analytical solutions to the mentioned model using …

In this paper, the coupled Kundu–Mukherjee–Naskar equation is considered, which is
usually used to describe the oceanic rogue waves, hole waves and Bragg grating fibers …

This paper considers the coupled Fokas–Lenells equation, which is used to study the
transmission of signals through a polarization-preserving optical fibre. Its several solutions …

This paper aims to analyze the coupled nonlinear fractional Drinfel'd-Sokolov-Wilson
(FDSW) model with beta derivative. The nonlinear FDSW equation plays an important role in …

In this work, it is used three families of nonlinearities such as Kerr law, Power Law and
Parabolic law over the High-order dispersive Nonlinear Schrödinger equation to inquire …

In this study, disparate analytical methodologies like the tan method, rational Exp-function
method, sech method, extended tan method, and sine–cosine method are implemented to …

This study employed the planar dynamics system method to investigate the chaotic behavior
and traveling wave solution of the fractional stochastic Zakharov system arising in plasma …

The article focuses on exploring three distinct equations: the Jimbo-Miwa equation (JME),
the generalized shallow water equation (GSWE), and the Hirota-Satsuma-Ito equation …

In this work a new scheme is proposed to study the exact solutions of another class of
hyperbolic potentials U p. We first obtain two linearly dependent eigenfunctions …