对模拟集成电路芯片快速导热情况的非Fourier热波方程给出了一系列代数显式解析解 ,它们还能组成多重级数解 .解析解除在理论上有其无可代替的重要理论意义外 ,还可以用作检验数值解的标准解以及作为研究数值计算方法的基础 . A series of explicit analytic solutions of algebraic equations are given for non-Fourier thermal wave equations that simulate the fast thermal conduction of integrated circuit chips, which can also form multiple series solutions. In theory, there is an important theoretical meaning that can not be replaced by analytic solution, It can also be used as a standard solution to test numerical solutions and as a basis for studying numerical methods.