Dromion Interactions of (2+1)-Dimensional KdV-type Equations

Abstract

Starting from a two line soliton solution of an integrable (2+1)-dimensional equation in bilinear form, one can find a dromion solution, that is localized in all directions, for the physical field and/or the suitable potential (the physical field's derivatives). The interaction properties between two dromions are studied both analytically and numerically for (2+1)-dimensional KdV-type equations. Our analysis shows that the shape of dromions after interaction may be changed or unchanged for different form of solutions.