Two-dimensional Interaction of Solitary Waves in a Modified Kadomtsev–Petviashvili Equation

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Two-dimensional interaction of two solitary waves is investigated numerically on the basis of a Modified Kadomtsev–Petviashvili equation. Two types of interaction are dealt with; one is the interaction of two positive solitary waves of an equal amplitude and the other is that between positive and negative solitary waves of an equal amplitude. The latter turns out to be considerably different from the former. In both cases the characteristics of the interaction depend on the ratio of a parameter representing the difference of the propagation directions of two solitary waves to the amplitude of the solitary waves. It is found that a new wave of a fairly large amplitude is produced for some range of the ratio as a result of the interaction of two positive solitary waves.