In this paper, a new (3+ 1 3+ 1)-dimensional generalized KP (gKP) equation is presented,
and two classes of lump solutions, rationally localized in all directions in the space, to the …

This paper studies optical solitons with parabolic law nonlinearity in presence of nonlinear
dispersion. There are three integration tools that are adopted to retrieve soliton solutions …

This research analyzes the symmetry analysis, explicit solutions and convergence analysis
to the time fractional Cahn–Allen (CA) and time-fractional Klein–Gordon (KG) equations with …

This work is focused to analyze the generalized Calogero–Bogoyavlenskii–Schiff equation
(GCBSE) by the Lie symmetry method. GCBS equation has been utilized to explain the wave …

In this study, our focus is on the construction of novel soliton solutions of non-linear
Schrödinger equation with parabolic law and non-local law non-linearities via new extended …

The modified simple equation (MSE) method is a competent and highly effective
mathematical tool for extracting exact traveling wave solutions to nonlinear evolution …

The aim of this paper is to present solitary wave solutions of two different forms of Klein–
Gordon equations with full nonlinearity. The\left (G'G\right) G′ G-expansion method is …

The Kawahara equation (KE) and the modified Kawahara equation (MKE) are important
modeling equations to interpret shallow water waves with surface tension, magneto-acoustic …

This paper studies the (3+ 1)-dimensional extended Kadomtsev-Petviashvili equation with
power law nonlinearity that apperas in the study of multi-component plasmas. The solutions …

Over the past few years, many fields of science and engineering can be expressed by
fractional differential equations [1]. Due to their widely applications in many research areas …