28 citations · 40 across the 4 of their papers we have counts for
4 papers
A mathematical base for Fibre bundle formulation of Lagrangian Quantum Field Theory
Bozhidar Z. Iliev
The paper contains a differential-geometric foundations for an attempt to formulate Lagrangian (canonical) quantum field theory on fibre bundles. In it the standard Hilbert space o…
How many types of soliton solutions do we know?
V. S. Gerdjikov, D. J. Kaup, N. A. Kostov +1
We consider several ways of how one could classify the various types of soliton solutions related to nonlinear evolution equations which are solvable by the inverse scattering meth…
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…