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 manuscript investigates bifurcation, chaos, and stability analysis for a significant model
in the research of shallow water waves, known as the second 3D fractional Wazwaz …

In this work, N-soliton waves, fusion solutions, mutiple M-lump solutions and the collision
phenomena between one-M-lump and one-, two-soliton solutions to the (2+ 1)-dimensional …

In this study, we investigate a system of equations based on ion sound and Langmuir waves
equations using a generalized exponential rational function, and a new technique named as …

This manuscript focuses on the application of the (m+ 1/G′)-expansion method to the (2+ 1)-
dimensional hyperbolic nonlinear Schrödinger equation. With the help of projected method …

Abstract In this article, the (3+ 1)-dimensional KdV–Calogero–Bogoyavlenskii–Schiff
equation, which describes the interactions of long wave propagations and has diverse …

In this paper, the modified extended map** method is applied to obtain solitary wave
solutions and other solutions for the Gilson–Pickering equation which describes the wave …

In this study, we investigate the (2+ 1)-dimensional Korteweg-De Vries (KdV) equation with
the extension of time-dependent coefficients. A symbolic computational method, the …

This study examines the perturbed Fokas–Lenells equation using two methods: the
Bernoulli sub-equation function method and the 1/G′-expansion method. A traveling wave …

In this work, we attempt to construct some novel solutions of nematicons within liquid crystals
including three types of nonlinearity namely Kerr, parabolic, and power law, using the …