40 citations · 146 across the 14 of their papers we have counts for
14 papers
Nonabelian Toda equations associated with classical Lie groups
A. V. Razumov, M. V. Saveliev, A. B. Zuevsky
The grading operators for all nonequivalent Z-gradations of classical Lie algebras are represented in the explicit block matrix form. The explicit form of the corresponding nonabel…
Progress in classically solving ten dimensional supersymmetric reduced Yang-Mills theories
Jean-Loup Gervais, Mikhail Saveliev
It is shown that there exists an on-shell light cone gauge where half of the fermionic components of the super vector potential vanish, so that part of the superspace flatness cond…
Riemannian Manifolds with Diagonal Metric. The Lamé and Bourlet Systems
A. V. Razumov, M. V. Saveliev
We discuss a Lie algebraic and differential geometry construction of solutions to some multidimensional nonlinear integrable systems describing diagonal metrics on Riemannian manif…
On Some Class of Multidimensional Nonlinear Integrable Systems
A. V. Razumov, M. V. Saveliev
On the base of Lie algebraic and differential geometry methods, a wide class of multidimensional nonlinear integrable systems is obtained, and the integration scheme for such equat…
Higher Grading Generalisations of the Toda Systems
Jean-Loup Gervais, Mikhail V. Saveliev
In the present paper we obtain some integrable generalisations of the Toda system generated by flat connection forms taking values in higher --grading subspaces of a simpl…
On Some Integrable Generalisations of the Continuous Toda System
Mikhail V. Saveliev
In the present paper we obtain some integrable generalisations of the continuous Toda system generated by a flat connection form taking values in higher grading subspaces of the al…