27 citations · 74 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
Three-Phase Freak Waves
Aleksandr O. Smirnov, Sergei G. Matveenko, Sergei K. Semenov +1
In the article, we describe three-phase finite-gap solutions of the focusing nonlinear Schrödinger equation and Kadomtsev-Petviashvili and Hirota equations that exhibit the behavio…
On a periodic solution of the focusing nonlinear Schrödinger equation
A. O. Smirnov, E. G. Semenova, V. Zinger +1
A periodic two-phase algebro-geometric solution of the focusing nonlinear Schrödinger equation is constructed in terms of elliptic Jacobi theta-functions. A dependence of this solu…