# 2.2 Partial Differential Equations

## 2.2.4 Characteristics for One-Dimensional Burgers' Equation

Consider the one-dimensional Burgers' equation 2.17. What is the equation for the characteristic?

Exercise 1

Answer: Following the explanation above, we see that for the Burgers' equation, we can obtain $$\frac{dU}{dt}=0$$ if we set $$\frac{dx}{dt}=u$$, which gives the characteristic.