Abstract
To predict the wave parameters from the interaction patterns of waves (the inverse problem), the corresponding direct problem needs to be solved. In this paper, interaction patterns of multi-soliton solutions of KdV type equations are constructed. The connection between the multi-soliton interaction patterns and the decomposition of a multi-soliton solution into a linear superposition of solitons and interaction solitons is demonstrated. All new concepts are illustrated for three-soliton solutions of the Kadomtshe–Petviashvili equation.
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