通过将该半解析解与忽略扩散的数值解进行对比分析，讨论了数值弥散代替物理扩散的条件。

Then this paper studied the effect of diffusion coefficient on concentration distribution and the conditions of substitution with numerical dispersion for physical diffusion.

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在考虑了云中上升速度随高度变化的情况下求得了扩散方程的解。

Considering the rising speed in clouds changes with altitudes we obtained the solution for the diffusion equation.

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广义条件对称；精确解；非线性反应扩散方程；对称群。

The generalized conditional symmetry; Exact solutions; The nonlinear reaction diffusion equations; symmetry group.

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