This study investigates the dynamical attitude of a nonlinear elastic circular rod's longitudinal
oscillation with lateral inertia and finite radius. This model was derived in 1986 by Wei and …

This article possesses modulation instability (MI) analysis and new exact wave solutions to
unidirectional Dullin–Gottwald–Holm (DGH) system that describes the prorogation of waves …

In this study, solitary wave solutions for the generalized (3+ 1)-dimensional nonlinear wave
equation (NLWE) are extracted using a new generalized exponential rational function …

In this work, we perform a comprehensive analytical study to find the novel exact traveling
wave solutions of the\(2+ 1\)-dimensional Kadomtsev-Petviashvili-Benjamin-Bona-Mahony …

The complex Hirota-dynamical model (CHDM) has applications in the study of plasma
physics, the investigation of fusion energy, astrophysical research, and space studies. The …

In this article, we discuss the wave behavior to the (3+ 1)-dimensional dynamical nonlinear
model which models the waves in the shallow water. Some natural issues, including tides …

Many mathematicians and physicists are interested in Bogoyavlensky–Konopelchenko type
equations to illustrate the various dynamics of nonlinear wave phenomena in the fields of …

The purpose of this study is to construct different optical soliton solutions to the Chen–Lee–
Liu equation of monomode fibers by executing the extended sinh-Gordon equation …

The current study is concerned with a predator–prey model with a functional response of
Holling type II that includes prey refuge and diffusion. These types of equations arise in …

Many applications of the classical nonlinear Schrödinger equations with cubic and power
nonlinearity are seen in nonlinear optics, plasma physics, superconductivity, propagation of …