Nonlinear dynamical systems; nonlinear waves; diffusion; stability; characteristics; nonlinear steepening, breaking and shock formation; conservation laws; first-order partial differential equations; finite differences; numerical stability; etc.

• 非线性动力系统；非线性波；扩散过程；稳定性；特征值及特征曲线；非线性陡斜，阻断和激波的形成；守恒定律；一阶偏微分方程；有限差分；数值稳定性等等。