Abstract

Abstract Starting from a quite universal formula, which is valid for some quite universal (2 + 1)-dimensional physical models, the interactions among different types of solitary waves like peakons, dromions, and compactons are investigated both analytically and graphically. Some novel features or interesting behaviors are revealed. The results show that the interactions for peakon–antidromion, compacton–antidromion, and antipeakon–compacton may be completely inelastic or not completely elastic.

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