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 solution of partial differential equations has generally been one of the most-vital
mathematical tools for describing physical phenomena in the different scientific disciplines …

Ferromagnetic materials are considered to have the applications in data storage, data
processing and telecommunication. A Kraenkel-Manna-Merle system, which describes the …

Nearly every area of mathematics, natural, social, and engineering now includes research
into finding exact answers to nonlinear fractional differential equations (NFDES). In order to …

The stochastic shallow water wave equation (SSWWE) in the sense of the beta-derivative is
considered in this study. The solutions of the SSWWE are obtained using the F-expansion …

The current analysis employs the improved F-expansion, modified extended tanh,
exponential rational function, and (g′)− expansion procedures to find a divergent collection …

The aim of this study is to investigate the dynamical behavior of (1+ 1)-dimensional
Kudryashov's equation with generalized anti-cubic nonlinearity by extracting the exact …

Abstract The fractional complex Ginzburg–Landau model is widely used in the description of
wave propagation through optical transmission lines. It has many useful applications in the …

The paper investigates the multiple rogue wave solutions associated with the generalized
Hirota–Satsuma–Ito (HSI) equation and the newly proposed extended (3+ 1)-dimensional …

In this paper a new definition of a local fractional derivative of order α is introduced and
applied to the study of the fractional nonlinear Schrödinger equation (FNLSE) with third …