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

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

1999-05-25

arxiv.org/abs/solv-int/9905012v1

Lie Groups and Their Applications, Vol.1, No 2, pp.132-139, (1994)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

7 pages, no figures

Scientific paper

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.

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