Lump and Interaction solutions of a geophysical Korteweg–de Vries equation

Abstract

This manuscript retrieve lump soliton solution for geophysical Korteweg–de Vries equation (GKdVE) with the help of Hirota bilinear method (HBM). We will also obtain lump–kink soliton (which is interaction of lump with one kink soliton), lump-periodic solutions (which is formed by interaction between periodic waves and lump) and lump–kink-periodic solutions (which is formed by interaction of periodic waves and lump with one kink soliton). The dynamics of these solution are examined graphically by selecting significant parameters.