Various hydraulic test and numerical simulations have reported that under the condition in which doublerow[*]bars initially form、 the mode of bars is reduced and alternate bars are formed over time. In this[*]study、 weakly nonlinear analysis is performed in order to elucidate the interaction between the modes of[*]double-row bars and alternate bars. A concept of the rate of linear amplification is introduced in to the[*]weakly nonlinear analysis in order to enable a consistent expansion of alternate bars and double-row bars.[*]This analysis succeeds in reproducing the characteristics of bar mode decrease process. According to this[*]analysis、 neither of both modes (alternate bars and double-row bars ) can grow up simultaneously. |