In this paper, Hirota's bilinear form has been employed to find novel lump waves solutions
for the generalized Caudrey–Dodd–Gibbon–Kotera–Sawada equation. This equation is one …

Nonlinear evolution equations are widely applied in various fields, and understanding their
solutions is crucial for predicting and controlling the behavior of complex systems. In this …

The main concern of this paper is to investigate the various of interaction solutions to the (2+
1)-dimensional variable-coefficient Sawada–Kotera equation. Analytical one-, two-, three …

Abstract A Generalized (2+ 1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada
equation (2D-gCDGKSE) is an integro-differential equation that describes tow-layer fluid …

This study aims to determine novel analytical lump solutions to the (2+ 1)-dimensional Hirota–
Satsuma–Ito equation through conducting symbolic computations using the Hirota direct …

In the field of nonlinear sciences, the theory of solitons has long been regarded as one of the
most significant and effective areas of research. In this research field, there are many …

New definitions always have more capabilities in describing phenomena than the more
classic and well-known concepts because they usually appear to fill the gaps in existing …

In this paper, the KdV-Sawada-Kotera-Ramani (KdVSKR) equation in various dimensions
are studied. The bilinear form of the (1+ 1)-dimensional and (2+ 1)-dimensional KdVSKR …