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 …

This study focuses on the nonlinear generalized Calogero–Bogoyavlenskii–Schiff equation
to explain the wave profiles in soliton theory. The improved and efficient technique is applied …

Nonlinear waves on periodic backgrounds play an important role in physical systems. In this
study, nonlinear waves that include solitons, breathers, rogue waves, and semi‐rational …

The study aims to explore the nonlinear Landau-Ginzburg-Higgs equation, which describes
nonlinear waves with long-range and weak scattering interactions between tropical …

In this paper, we investigate the general localized waves on the nonvanishing background
for a coupled generalized nonlinear Schrödinger system with four wave mixing (FWM) effect …

This paper considers the Riemann–Hilbert problem (RHP) with higher-order poles for the
Chen–Lee–Liu equation. By assuming the scattering coefficients have N th order zero …

In this work, the coupled nonlinear Schrödinger equation with higher-order effects is studied
with the aid of Darboux transformation and an asymptotic analysis. We report mixed …

The main objective of this paper is to retrieve the analytical solutions for a perturbed
nonlinear Schrödinger's equation. These achievements are obtained by following the basic …

In this work, we obtain new resonant lump, kinky, and periodic solutions to a combination of
two Burgers' hierarchies. In particular, we study the mixed doubly nonlinear dispersive …

Over half a century, the field of nonlinear photonics has grown enormously and
demonstrated many intriguing nonlinear optical wave phenomena, such as solitons …