381 citations · 496 across the 14 of their papers we have counts for
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Generalised Fourier transform for the Camassa-Holm hierarchy
Adrian Constantin, Vladimir S. Gerdjikov, Rossen I. Ivanov
The squared eigenfunctions of the spectral problem associated to the Camassa-Holm equation represent a complete basis of functions, which helps to describe the Inverse Scattering T…
The Manakov system as two moving interacting curves
N. A. Kostov, R. Dandoloff, V. S. Gerdjikov +1
The two time-dependent Schrodinger equations in a potential V(s,u), denoting time, can be interpreted geometrically as a moving interacting curves whose Fermi-Walker phase dens…
N-Wave Equations with Orthogonal Algebras: Z_2 and Z_2 \times Z_2 Reductions and Soliton Solutions
Vladimir S. Gerdjikov, Nikolay A. Kostov, Tihomir I. Valchev
We consider -wave type equations related to the orthogonal algebras obtained from the generic ones via additional reductions. The first -reduction is the canonical…
Exact Solutions for Equations of Bose-Fermi Mixtures in One-Dimensional Optical Lattice
Nikolay A. Kostov, Vladimir S. Gerdjikov, Tihomir I. Valchev
We present two new families of stationary solutions for equations of Bose-Fermi mixtures with an elliptic function potential with modulus . We also discuss particular cases when…