文中证明了非线性热传导方程只能有连续解，不可能存在间断解。
In this paper, the author proves that, for a non-linear heat conduction equation, there is no discontinuous solution.
计算结果与已有文献结果基本一致，证明该方法有效、稳定，能够模拟浅水长波方程中的间断解问题。
The numerical results agree with those of available literatures and show that the method is robust and stable for getting the discontinuous solutions of the shallow water wave equation.
即使初始条件十分光滑，双曲守恒律方程的解也可能出现间断。
The solutions of the Hyperbolic conservation laws might develop discontinuity even if the initial conditions are very smooth.
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