28 citations · 52 across the 4 of their papers we have counts for
4 papers
On the (Non)-Integrability of KdV Hierarchy with Self-consistent Sources
Vladimir S. Gerdjikov, Georgi G. Grahovski, Rossen I. Ivanov
Non-holonomic deformations of integrable equations of the KdV hierarchy are studied by using the expansions over the so-called "squared solutions" (squared eigenfunctions). Such de…
On the Caudrey-Beals-Coifman System and the Gauge Group Action
Georgi G. Grahovski, Marissa Condon
The generalized Zakharov-Shabat systems with complex-valued Cartan elements and the systems studied by Caudrey, Beals and Coifman (CBC systems) and their gauge equivalent are studi…
New Integrable Multi-Component NLS Type Equations on Symmetric Spaces: Z_4 and Z_6 Reductions
G. G. Grahovski, V. S. Gerdjikov, N. A. Kostov +1
The reductions of the multi-component nonlinear Schrodinger (MNLS) type models related to C.I and D.III type symmetric spaces are studied. We pay special attention to the MNLS rela…
On N-wave type systems and their gauge equivalent
Vladimir S. Gerdjikov, Georgi G. Grahovski, Nikolay A. Kostov
The class of nonlinear evolution equations - gauge equivalent to the N-wave equations related to the simple Lie algebra g are derived and analyzed. They are written in terms of the…