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# Third order equations

This category includes all equations of the third order.## List of third order equations

- Korteweg-de Vries equation
$${u}_{t}+6u{u}_{x}+{u}_{xxx}=0$$

- Modified Korteweg-de Vries equation
$${u}_{t}-6{u}^{2}{u}_{x}+{u}_{xxx}=0$$

- Sharma-Tasso-Olver equation
$${u}_{t}+\alpha {u}_{xxx}+\frac{3}{2}\alpha {({u}^{2})}_{xx}+\alpha {({u}^{3})}_{x}=0$$