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I understand some PDE is linear like

[itex]\frac{\partial f}{\partial t}+\frac{\partial f}{\partial x}=0[/itex]

while some PDE is nonlinear like

[itex]\frac{\partial f}{\partial t}+f\frac{\partial f}{\partial x}=0[/itex]

Some PDE is weak nonlinear and some is strong nonlinear.

I am wondering whether there is any quantitative measure of the nonlinearity? Many thank!

Best regards,

Joseph