【摘要】 W.F.Ames在[2]中研究了流体力学的动量方程组的显式前进波解。本文讨论n维空间拟线性偏微分方程组 （?）u_i/（?）t+（sum from j=1 to nu_j）（u_i/x_j）=v（sum from j=1 to n）（²u_i）/x_j²), i=1, …, n的情形。令 u_i=ψ_xi以及ψ=F（ω）, ω=t+sum from j=1 to n λ_j （x_j）将偏微分方程组化为常微分方程组求解,并得出了有关常数c,c_i取不同符号时解u_i的不同表达式。更多还原

【Abstract】 In this paper the Quasi--linear system on n-dimensional space （u_i/t+（sum from j=1 to nu_j）（u_i/x_j）=v（sum from j=1 to n）（）²u_i）/x_j²), i=1, …, nis considered.Let u_i=ψ_xi, and pose the boundary condition ψ_t=ψ_xj =ψ_xjxj = 0 （j= 1,… , n）as x_i = 0（i= 1, …,n）, the solution of the system is obtained in the form= F （ω）, ω=t+sum from j=1 to n λ_j （x_j）The signs of the constants o, c_i appearing in the solution have been discussed.更多还原