Computer Simulation of Solitary Waves of the Nonlinear Wave Equation u_t+uu_x-γ^2u_<5x>=0

概要

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Computer simulation of the nonlinear wave equation u_t+uu_x-γ^2u_<5x>=0 was carried out. The results show that one solitary wave with oscillatory tails propagates stably and it is described as u=λf{λ^<1/4>(x-λt)}. 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.
社団法人日本物理学会の論文
1981-11-15