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 …

A new nonlinear integrable fifth-order equation with temporal and spatial dispersion is
investigated, which can be used to describe shallow water waves moving in both directions …

The nonlinear Schrödinger (NLS) equation is widely used in natural science. Various
nonlinear excitations of the NLS equation have been found by many methods. However …

The complex pattern and propagation characteristics of nonlinear periodic ion-acoustic
waves, namely, ion-acoustic cnoidal waves, in a dense relativistic degenerate …

In this paper, a modified KdV-CBS equation is investigated by using the truncated Painlevé
expansion and consistent Riccati expansion method, respectively. It is shown that the …

We consider the classical Boussinesq–Burgers (BB) equation, which describes the
propagation of shallow water waves. Based on the truncated painlevé expansion method …

Under investigation in this paper are the nonlocal symmetries and consistent Riccati
expansion integrability of the (2+ 1)-dimensional Boussinesq equation, which can be used …

The truncated Painlevé expansion is developed to construct Bäcklund transformations and
nonlocal symmetries of the Bogoyavlenskii coupled KdV (BcKdV) system. The Schwarzian …

Abstract In this article, the (2+ 1)-dimensional dispersive long wave equation (DLWE) is
investigated, which is derived in the context of a water wave propagating in narrow infinitely …

Starting from the Darboux transformation (DT) related nonlocal symmetry of the (2+ 1)-
dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada (CDGKS) equation, the original …