A. Bilge

activity

19942005

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solv-int1999

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

Ayse Humeyra Bilge

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…

solv-int1998

Miura Transformations for Integrable Evolution Equations of the Form $u_{t} = u_{xxx} + f (t, x, u, u_{x}, u_{xx})$

Ayse Humeyra Bilge, Fatma Ozdemir

The paper is withdrawn due to an error in Section 3.2. The remaining of the results are included in the preprint solv-int/9605004.

A System with a Recursion Operator but One Higher Local Symmetry of the Form ut​=uxxx​+f(t,x,u,ux​,uxx​)

Miura Transformations for Integrable Evolution Equations of the Form ut​=uxxx​+f(t,x,u,ux​,uxx​)

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

Miura Transformations for Integrable Evolution Equations of the Form $u_{t} = u_{xxx} + f (t, x, u, u_{x}, u_{xx})$