Dissipative Behavior of Some Fully Non-Linear KdV-Type Equations

D. Levy, Y. Brenier

The KdV equation can be considered as a special case of the general equation u_{t} + f(u)_{x} - δg(u_{xx})_x = 0, \qquad δ> 0, where f is non-linear and g is linear, namely $f(u)=u…