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nlin.SI2007★ 28 cited
Commutator identities on associative algebras and integrability of nonlinear pde's
A. K. Pogrebkov
It is shown that commutator identities on associative algebras generate solutions of linearized integrable equations. Next, a special kind of the dressing procedure is suggested th…
nlin.SI2002
Hierarchy of quantum explicitly solvable and integrable models
A. Pogrebkov
Realizing bosonic field v(x) as current of massless (chiral) fermions we derive hierarchy of quantum polynomial interactions of the field v(x) that are completely integrable and le…
nlin.SI2001
On quantization of the KdV equation
A. Pogrebkov
Quantization procedure of the Gardner-Zakharov-Faddeev and Magri brackets by means of the fermionic representation for the KdV field is considered. It is shown that in both cases t…