21 citations · 81 across the 17 of their papers we have counts for
17 papers
Appearing (disappearing) lumps and rogue lumps of the two-dimensional vector Yajima-Oikawa system
N. V. Ustinov
The solutions of the two-dimensional multicomponent Yajima-Oikawa system that have the functional arbitrariness are constructed by using the Darboux transformation technique. For t…
Comment on 'Evolution of the unidirectional electromagnetic pulses in an anisotropic two-level medium'
N. V. Ustinov
Recently, Zabolotskii [Phys. Rev. E 77, 036603 (2008)] presented the Lax pair for a version of the reduced Maxwell--Bloch equations. This version was derived under considering the…
New Kinds of Acoustic Solitons
S. V. Sazonov, N. V. Ustinov
We find that the modified sine-Gordon equation belonging to the class of the soliton equations describes the propagation of extremely short transverse acoustic pulses through the l…
Optical Solitons in an Anisotropic Medium with Arbitrary Dipole Moments
N. V. Ustinov
We find the Lax pair for a system of reduced Maxwell-Bloch equations that describes the propagation of two-component extremely short electromagnetic pulses through the medium conta…
Infinitesimal symmetries and conservation laws of the DNLSE hierarchy and the Noether's theorem
N. V. Ustinov
The hierarchy of the integrable nonlinear equations associated with the quadratic bundle is considered. The expressions for the solution of the linearization of these equations and…
Modes of nonlinear acoustic transparency in the strained paramagnetic crystal
S. V. Sazonov, N. V. Ustinov
The propagation of the transverse-longitudinal acoustic pulses through a strained cubic crystal containing the resonant paramagnetic impurities with effective spin S=1 is investiga…