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.