This included on the generalised Burgers' equation and inverse scattering theory.

The previous equation is the 'advection form' of the Burgers' equation.

We wish to solve the forced, transient, nonlinear Burgers' equation using a spectral approach.

For , this equation reduces to the Burgers' equation.

Burgers' equation is a fundamental partial differential equation from fluid mechanics.

This is an implicit relation that determines the solution of the inviscid Burgers' equation provided characteristics don't intersect.

If we also assume that the solutions are independent of y as , then they also satisfy Burgers' equation:

Hopf-Cole transformation (see Burgers' equation)

The inviscid Burgers' equation is a first order partial differential equation (PDE).

Burgers' Equation at NEQwiki, the nonlinear equations encyclopedia.

In the one-dimensional case where u is not constant and is equal to ψ, the equation is referred to as Burgers' equation.

Burgers' Equation at EqWorld: The World of Mathematical Equations.

He is credited to be the father of Burgers' equation, the Burgers vector in dislocation theory and the Burgers material in viscoelasticity.

When , Burgers' equation becomes the inviscid Burgers' equation:

These two, along with Leon Trilling found that flows having weak shocks could be described by Burgers' equation, for which Cole later found a clever transformation to solve it.

For a given velocity u and viscosity coefficient , the general form of Burgers' equation (also known as viscous Burgers' equation) is: