Abstract

Starting from a two line soliton solution of an integrable (2+1)-dimensional system 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 between two dromions is studied both analytical and numerical for the (2+1)-dimensional Nizhnik-Novikov-Veselev equation and the modified Korteweg-de Vries (mKdV) equation. The interaction may be elastic (without shape and velocity deformation) or inelastic depending on the form of multisoliton solution.

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