Recursion operators for a class of integrable third-order evolution equations

Niclas Petersson, Norbert Euler, Marianna Euler

We consider $u_t=u^{\alpha }{u}_{xxx}+n(u)u_x{u}_{xx}+m(u)u_x^3+r(u)u_{xx}+p(u)u_x^2+q(u)u_x+s(u)$ with $\alpha =0$ and $\alpha =3$, for those functional forms of $m,n,p,q,r,s$ for which the equ…