We apply the novel Kudryashov scheme, the 1 G′ approach, and the G′ G′+ G+ A
technique to handle the Zoomeron model for the first time, which yields several kinds of …

This study investigates a widely recognized Hirota–Maccari model used in plasmas, fluid
mechanics, and optics. Novel dynamics of this nonlinear structure are introduced through …

In this study, the Fokas system which represents the spread of irregular pulse in monomode
optical fibers is investigated via the Jacobi elliptic function expansion (JEFE) method. This …

Numerous scientific fields depend on precise solutions, which can be obtained for nonlinear
partial differential equations (PDEs) through various techniques. It is important to note that …

In this paper, we primarily focus on the nonlinear paraxial wave equation in Kerr media, a
generalization of the nonlinear Schrödinger equation utilized to characterize the dynamics of …

Exact solutions of nonlinear equations have got formidable attraction of researchers
because these solutions demonstrate the physical behaviour of a model. In this paper, we …

Nonlinear partial differential equations (NLPDEs) are widely utilized in engineering and
physical research to represent many physical processes of naturalistic occurrences. In this …

Abstract The (2+ 1)-dimensional extended Calogero–Bogoyavlenskii–Schiff equation
appears in the mathematical description of physical phenomena in plasma physics, fluid …

This work aims to construct exact solutions for the space-time fractional (2+ 1)-dimensional
dispersive longwave (DLW) equation and approximate long water wave equation (ALW) …

An essential mathematical structure that demonstrates the nonlinear short-wave movement
across the ferromagnetic materials having zero conductivity in an exterior region is known as …