The project supported by the National Fundamental Research Program of China under Grant No. 2006CB921106,and National Natural Science Foundation of China under Grant Nos. 10325521, 60433050, and 60635
<正> A Korteweg-de Vires-type(KdV-type)equation and a modified Nonlinear Schr(o|¨)dinger equation(NLSE)forthe dust lattice wave(DLW)are derived in a weakly