Symmetries of a class of Nonlinear Third Order Partial Differential Equations

P. A. Clarkson, E. L. Mansfield, T. J. Priestley

In this paper we study symmetry reductions of a class of nonlinear third order partial differential equations $u_t-\epsilon u_{xxt}+2\kappa u_x=u{u}_{xxx}+\alpha u{u}_x+\beta u_x{u}_{xx}$ where $\epsilon$, $\kappa$,…