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nlin.SI2012★ 4 cited
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…
nlin.SI2012★ 5 cited
On Soliton Interactions for a Hierarchy of Generalized Heisenberg Ferromagnetic Models on SU(3)/S(U(1) U(2)) Symmetric Space
Vladimir S. Gerdjikov, Georgi G. Grahovski, Alexander V. Mikhailov +1
We consider an integrable hierarchy of nonlinear evolution equations (NLEE) related to linear bundle Lax operator L. The Lax representation is Z2 \times Z2 reduced and is naturally…