Linearizability of the Perturbed Burgers Equation

R. A. Kraenkel, J. G. Pereira, E. C. de Rey Neto

We show in this letter that the perturbed Burgers equation $u_t=2u{u}_x+u_{xx}+\epsilon (3{\alpha }_1{u}^2{u}_x+3{\alpha }_{2}u{u}_{xx}+3{\alpha }_3{u}_x^2+{\alpha }_4{u}_{xxx})$ is equivalent, through a near-ident…