摘要: Abstract It is shown that after a sufficiently long propagation time, the nonlinear dust-acoustic waves appear as stationary shock wave structure. The latter arises result of balance between breaking and dissipation energy due to variation dust particle charges. presented analytical theory shows necessary condition for formation demands acoustic frequency ω considerably smaller than charging q0 . In this regime, described by well-known Burgers equation. Furthermore, breakdown has been studied solving basic set fluid equations numerically. numerical solutions exhibit may also occur order , viz in regime not covered our theory.