A System with a Recursion Operator but One Higher Local Symmetry of the Form $u_t=u_{xxx}+f(t,x,u,u_x,u_{xx})$

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We construct a recursion operator for the system $(u_t,v_t)=(u_4+v^2,1/5 v_4)$, for which only one local symmetry is known and we show that the action of the recursion operator on $(u_t,v_t)$ is a local function.
7 pages, no figures

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/94522

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/solv-int/9905012
 http://arxiv.org/abs/solv-int/9905012
 Lie Groups and Their Applications, Vol.1, No 2, pp.132-139, (1994)

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arXiv