Meromorphic exact solutions of the generalized Bretherton equation

The generalized Bretherton equation is studied. The classification of the meromorphic traveling wave solutions for this equation is presented. All possible exact solutions of the generalized Brethenton equation are given

Once again to the Question of the Title of A. S. Pushkin “the Sun of Russian Poetry”

The article is devoted to the analysis of the figurative definition of the meaning of Pushkin as the “sun of Russian poetry” from a brief notice of the death of A. S. Pushkin, published on January 30, 1837 in the 5th issue of Literary Additions, an appendix to the newspaper “Russian Invalid”. It is noted that the informal title of “sun” of national literature Pushkin received during his life thanks to the critic V. G. Belinsky, who, in “Literary Dreams” (1834) was the first to make a figurative comparison of the influence of the poet of the 20s of the XIX century work, who was “supreme leader” in the literature of that time, on the development of Russian literature with the influence of the sun on earth and earthly life. The end of the “Pushkin period” proclaimed by Belinsky in “Literary Dreams” and the general desire of literary circles to create national idols served as the basis for Pushkin’s title in Russian criticism of 1834-1837. However, the numerous titles that article authors generously awarded Pushkin during his lifetime did not consolidate in the national consciousness as firmly as the “high title” given to the poet by Belinsky in “Literary Dreams”, thanks to the lifetime glory and love of the people for his poet, his national vitality and centrality in Russian culture at that time. The author of the article focuses on the fact that, in the light of this position, the figurative definition of Pushkin’s meaning “the sun of Russian poetry” used in the obituary by V. F. Odoevsky essentially reproduces the informal title of the great poet, already rooted in the national consciousness, as the “sun” of national literature, which was first of critics awarded to Pushkin by Belinsky

Automated adaptive optical system for laser beam shaping using spatial light modulator

The automated adaptive optical system with phase-only special light modulator and intensity analyzer are assembled and tested. The experimental results of the flattopand doughnut intensity distributions formation are presented

Nanostructuring of solid surfaces by femtosecond laser pulses

One-dimensional quasi-periodic structures whose period is much smaller than the wavelength of exciting optical radiation have been obtained on a titanium surface under the multi-shot action of linearly polarized femtosecond laser radiation at various surface energy densities. As the radiation energy density increases, the one-dimensional surface nanogratings oriented perpendicularly to the radiation polarization evolve from quasi-periodic ablative nanogrooves to regular lattices with sub-wavelength periods (90-400 nmyesRussian Academy of Science

On elliptic solutions of the quintic complex one-dimensional Ginzburg-Landau equation

The Conte-Musette method has been modified for the search of only elliptic solutions to systems of differential equations. A key idea of this a priory restriction is to simplify calculations by means of the use of a few Laurent series solutions instead of one and the use of the residue theorem. The application of our approach to the quintic complex one-dimensional Ginzburg-Landau equation (CGLE5) allows to find elliptic solutions in the wave form. We also find restrictions on coefficients, which are necessary conditions for the existence of elliptic solutions for the CGLE5. Using the investigation of the CGLE5 as an example, we demonstrate that to find elliptic solutions the analysis of a system of differential equations is more preferable than the analysis of the equivalent single differential equation.Comment: LaTeX, 21 page

Femtosecond laser writing of subwave one-dimensional quasiperiodic nanostructures on a titanium surface

One-dimensional quasiperiodic structures whose period is much smaller than the wavelength of exciting radiation have been obtained on a titanium surface under the multipulse action of linearly polarized femtosecond laser radiation with various surface energy densitiesye