28 citations · 40 across the 3 of their papers we have counts for
3 papers
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…