8 citations · 27 across the 4 of their papers we have counts for
4 papers
On soliton solutions and soliton interactions of Kulish-Sklyanin and Hirota-Ohta systems
Vladimir S. Gerdjikov, Nianhua Li, Vladimir B. Matveev +1
In this paper we consider a simplest two-dimensional reduction of the remarkable three-dimensional Hirota-Ohta system. The Lax pair of the Hirota-Ohta system was extended to a Lax…
Recursion operators and the hierarchies of MKdV equations related to , and Kac-Moody algebras
V. S. Gerdjikov, A. A. Stefanov, I. D. Iliev +4
We constructed the three nonequivalent gradings in the algebra . The first one is the standard one obtained with the Coxeter automorphism $C_1=S_{α_2} S_{α_1}S_{α…
Spectral curves for the rogue waves
Aleksandr O. Smirnov, Vladimir B. Matveev, Yury A. Gusman +1
Here we find the spectral curves, corresponding to the known rational or quasi-rational solutions of AKNS hierarchy equations, ultimately connected with the modeling of the rogue w…
Some comments on continuous symmetries of AKNS hierarchy equations and their solutions
A. O. Smirnov, V. B. Matveev
We show that a well known for NLS equation scaling invariance and Galilean invariance property of its solutions can be extended with appropriate modifications to the whole AKNS hie…