This effort explores the dynamic behavior of solitary wave fronts using the Oskolkov model in
a truncated M-fractional derivative form. This effort has been performed through the …

Abstract This study investigates the (2+ 1)-dimensional conformable combined potential
Kadomtsev–Petviashvili-B-type Kadomtsev–Petviashvili (cpKP–BKP) equation. It is a linear …

This paper focuses on the Kuralay-II equation, a prominent nonlinear evolutionary equation
used in various scientific fields. Our goal was to determine exact solutions to this equation by …

This study examines the analytic wave solutions of a fourth-order (2+ 1)-dimensional
nonlinear Schrödinger equation with higher-order odd and even terms using the modified …

In this study, we explore the essential conditions for the existence of optical solitary solutions
within a novel two-mode extension derived from the unstable nonlinear Schrödinger …

In this study, we explore the fractional Zakharov system using the M-truncated derivative for
the first time. Some new solitary wave and periodic solutions are derived for the fractional …

The main goal of this paper is to study the higher-order dispersive extended nonlinear
Schrödinger equation, which demonstrates the propagation of ultrashort pulses in optical …

The central objective of this study is to explore the dynamic response of fractional-soliton
solutions within a nonlinear T zitze´ ica–Dodd–Bullough (TDB) equation enhancing the long …

The current manuscript proposes an innovative approach for obtaining exact solutions to the
conformable time-fractional nonlinear differential-difference equations (NDDEs). The …

In this article, the nonlinear cubic-quartic Fokas-Lenells equation with third and fourth order
dispersion is theoretically investigated. The considered equation is a modified form of Fokas …