The motive of the study was to explore the nonlinear Riemann wave equation, which
describes the tsunami and tidal waves in the sea and homogeneous and stationary media …

In this work, a new adaptive numerical method is proposed for solving nonlinear, singular,
and stiff initial value problems often encountered in real life. Starting with a fixed step size …

In this investigation, we apply the improved Kudryashov, the novel Kudryashov, and the
unified methods to demonstrate new wave behaviors of the Fokas-Lenells nonlinear …

New solitary wave solutions are developed for various shapes of three-dimensional
nonlinear partial differential equations using the Sardar-Subequation method. Some …

The objective of this research is to investigate the nonlinear Landau–Ginzburg–Higgs
equation, which characterizes nonlinear solitary waves exhibiting distant and feeble …

In this study, we express the Radhakrishnan–Kundu–Lakshmanan equation with an
arbitrary index of n∈ Q. We investigated the solitary wave solutions of the Radhakrishnan …

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 paper, the fractional complex Ginzburg–Landau equation (CGLE) with Kerr law in
nonlinear optics, which simulates soliton propagation in various waveguides in the presence …

The solution of partial differential equations has generally been one of the most-vital
mathematical tools for describing physical phenomena in the different scientific disciplines …

By applying the Sardar subequation method, we study new coupled Konno–Oono (CKO)
equation and obtained soliton type solutions in the form of bright, dark, singular, periodic …