5 papers
solv-int1998
The periodic Lax operators $\cL$ of the equations of Benney type II
A. Balan
This text has been withdrawn by the author.
math.DG1998
The symplectic form for the fiber bundles over a Riemann surface II
A. Balan
We obtain an explicit formula for the symplectic form over the double quotient with help of the Green function of a Riemann surface.
math.CA1998
The Schwartz functions and the derivation
Antoine Balan
The derivation is studied in relation with the space of Schwartz of functions. This paper has been withdrawn by the author.
hep-th1998
The Quantization of the Generalized mKdV Equations for $\hat {\SL}_2$
Antoine Balan
We construct quantum deformations of the integrals of motion of the generalized mKdV equations for $\hat {\SL}_2$. For this, we give the relevant vertex operator algebra and prove…
solv-int1998
The Lax operators of the Benney type equations bound with the circle
Antoine Balan
The Lax operators of the Benney type equations are studied on the circle. The vectors fields of the Lax operators are showed to commute with each other