Potential Burgers equation
= Potential Burgers equation
The nonlinear equation
$$
u_t=u_{xx}+u_x^2
$$
is the potential form of the viscous Burgers equation. The substitution $w=e^u$ converts it to the <heat equation> $w_t=w_{xx}$.
= Potential Burgers equation
The nonlinear equation
$$
u_t=u_{xx}+u_x^2
$$
is the potential form of the viscous Burgers equation. The substitution $w=e^u$ converts it to the <heat equation> $w_t=w_{xx}$.