Abstract
Computer simulation of the nonlinear wave equation u t + u u x -γ 2 u 5 x =0 was carried out. The results show that one solitary wave with oscillatory tails propagates stably and it is described as u =λ f { λ 1/4 ( x -λ t )}. It is found that the two-solitary wave interaction is classified into two types, T and B, according to the relative amplitudes of waves, and after type the T interaction, both identities of solitary waves before the interaction are conserved, while after type the B interaction their identities are approximately conserved. Formation of a two-solitary wave's bound state is observed after three-solitary wave interaction, and the condition of the bound state formation is discussed.
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