8 citations · 13 across the 3 of their papers we have counts for
3 papers
nlin.SI2022
Real Hamiltonian forms of affine Toda field theories: spectral aspects
Vladimir S. Gerdjikov, Georgi G. Grahovski, Alexander A. Stefanov
The paper is devoted to real Hamiltonian forms of 2-dimensional Toda field theories related to exceptional simple Lie algebras, and to the spectral theory of the associated Lax ope…
nlin.SI2020★ 8 cited
Recursion operators and the hierarchies of MKdV equations related to , and Kac-Moody algebras
V. S. Gerdjikov, A. A. Stefanov, I. D. Iliev +4
We constructed the three nonequivalent gradings in the algebra . The first one is the standard one obtained with the Coxeter automorphism $C_1=S_{α_2} S_{α_1}S_{α…
nlin.SI2017★ 5 cited
New types of two component NLS-type equations
Vladimir S. Gerdjikov, Alexander A. Stefanov
We study MNLS related to the D.III-type symmetric spaces. Applying to them Mikhailov reduction groups of the type we derive new types of 2-compone…