14 citations · 27 across the 3 of their papers we have counts for
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On the 3-wave Equations with Constant Boundary Conditions
Vladimir S. Gerdjikov, Georgi G. Grahovski
The inverse scattering transform for a special case of the 3-wave resonant interaction equations with non-vanishing boundary conditions is studied. The Jost solutions and the funda…
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…