Kuralay Yesmakhanova | The L.N. Gumilyov Eurasian National University (original) (raw)

Papers by Kuralay Yesmakhanova

AIP Conference Proceedings, Dec 31, 2022

Izvestiâ Nacionalʹnoj akademii nauk Respubliki Kazahstan, Apr 15, 2021

The inclusion of News of NAS RK. Series of chemistry and technologies in the Emerging Sources Cit... more The inclusion of News of NAS RK. Series of chemistry and technologies in the Emerging Sources Citation Index demonstrates our dedication to providing the most relevant and influential content of chemical sciences to our community. Қазақстан Республикасы Ұлттық ғылым академиясы "ҚР ҰҒА Хабарлары. Физикалықматематикалық сериясы" ғылыми журналының Web of Science-тің жаңаланған нұсқасы Emerging Sources Citation Index-те индекстелуге қабылданғанын хабарлайды. Бұл индекстелу барысында Clarivate Analytics компаниясы журналды одан әрі the Science Citation Index Expanded, the Social Sciences Citation Index және the Arts & Humanities Citation Index-ке қабылдау мәселесін қарастыруда. Webof Science зерттеушілер, авторлар, баспашылар мен мекемелерге контент тереңдігі мен сапасын ұсынады. ҚР ҰҒА Хабарлары. Химия және технология сериясы Emerging Sources Citation Index-ке енуі біздің қоғамдастық үшін ең өзекті және беделді химиялық ғылымдар бойынша контентке адалдығымызды білдіреді. НАН РК сообщает, что научный журнал «Известия НАН РК. Серия физико-математическая» был принят для индексирования в Emerging Sources Citation Index, обновленной версии Web of Science. Содержание в этом индексировании находится в стадии рассмотрения компанией Clarivate Analytics для дальнейшего принятия журнала в the Science Citation Index Expanded, the Social Sciences Citation Index и the Arts & Humanities Citation Index. Web of Science предлагает качество и глубину контента для исследователей, авторов, издателей и учреждений. Включение Известия НАН РК в Emerging Sources Citation Index демонстрирует нашу приверженность к наиболее актуальному и влиятельному контенту по химическим наукам для нашего сообщества.

Л.Н. Гумилев атындағы Еуразия ұлттық университетінің хабаршысы, 2020

In this article, we consider an equation describing the propagation of ultrashort nonlinear light... more In this article, we consider an equation describing the propagation of ultrashort nonlinear light pulses in optical fibers, the so-called Fokas-Lenells equation (FLE). FLE is one of the generalizations of the nonlinear Schrodinger equation (NSE) and is integrable using the inverse scattering method. Also allows soliton or soliton-like solutions. For all known evolutionary nonlinear equations for the search for soliton solutions, one has to develop his own methods that take into account the features of this equation. In this paper, we propose a Darboux transformation (DT) method for FLE. To find a one-soliton solution is constructed of the equation in question, a 1-fold DT is constructed. Also, using the results obtained, one can find the two-soliton and N-soliton solutions of FLE.

PHYSICO-MATHEMATICAL SERIES

The minimal surface (see [1]) is determined using the Weierstrass representation in three-dimensi... more The minimal surface (see [1]) is determined using the Weierstrass representation in three-dimensional space. The solution of the Dirac equation [2] in terms of spinors coincides with the representations of this surface with conservation of isothermal coordinates. The equation represented through the Dirac operator, which is included in the Manakov’s L, A, B triple [3] as equivalent to the modified Veselov-Novikov equation (mVN) [4]. The potential 𝑈 of the Dirac operator is the potential of representing a minimal surface. New solutions of the mVN equation are constructed using the pre-known potentials of the Dirac operator and this algorithm is said to be Moutard transformations [5]. Firstly, the geometric meaning of these transformations which found in [6], [7], gives us the definition of the inversion of the minimal surface, further after finding the exact solutions of the mVN equation, we can represent the inverted surfaces. And these representations of the new potential determine...

Physical review, Feb 13, 2023

arXiv (Cornell University), Jul 6, 2022

Monthly Notices of the Royal Astronomical Society, Mar 24, 2022

We study the scenario of Kanadiakis horizon entropy cosmology which arises from the application o... more We study the scenario of Kanadiakis horizon entropy cosmology which arises from the application of the gravity-thermodynamics conjecture using the Kaniadakis modified entropy. The resulting modified Friedmann equations contain extra terms that constitute an effective dark energy sector. We use data from Cosmic chronometers, Supernova Type Ia, HII galaxies, Strong lensing systems, and Baryon acoustic oscillations observations and we apply a Bayesian Markov Chain Monte Carlo analysis to construct the likelihood contours for the model parameters. We find that the Kaniadakis parameter is constrained around 0, namely, around the value where the standard Bekenstein-Hawking is recovered. Concerning the normalized Hubble parameter, we find ℎ = 0.708 +0.012 −0.011 , a result that is independently verified by applying the H0() diagnostic and, thus, we conclude that the scenario at hand can alleviate the 0 tension problem. Regarding the transition redshift, the reconstruction of the cosmographic parameters gives = 0.715 +0.042 −0.041. Furthermore, we apply the AICc, BIC and DIC information criteria and we find that in most datasets the scenario is statistical equivalent to ΛCDM one. Moreover, we examine the Big Bang Nucleosynthesis (BBN) and we show that the scenario satisfies the corresponding requirements. Additionally, we perform a phase-space analysis, and we show that the Universe past attractor is the matter-dominated epoch, while at late times the Universe results in the dark-energy-dominated solution. Finally, we show that Kanadiakis horizon entropy cosmology accepts heteroclinic sequences, but it cannot exhibit bounce and turnaround solutions.

КазНУ хабаршысы, Jun 30, 2019

Izvestiâ Nacionalʹnoj akademii nauk Respubliki Kazahstan, Dec 15, 2019

Бас редакторы ф.-м.ғ.д., проф., ҚР ҰҒА академигі Ғ.М. Мұтанов Р е д а к ц и я а л қ а с ы: Жұмаді... more Бас редакторы ф.-м.ғ.д., проф., ҚР ҰҒА академигі Ғ.М. Мұтанов Р е д а к ц и я а л қ а с ы: Жұмаділдаев А.С. проф., академик (Қазақстан) Кальменов Т.Ш. проф., академик (Қазақстан) Жантаев Ж.Ш. проф., корр.-мүшесі (Қазақстан) Өмірбаев У.У. проф. корр.-мүшесі(Қазақстан) Жүсіпов М.А. проф. (Қазақстан) Жұмабаев Д.С. проф. (Қазақстан) Асанова А.Т. проф. (Қазақстан) Бошкаев К.А. PhD докторы (Қазақстан) Сұраған Д. корр.-мүшесі (Қазақстан) Quevedo Hernando проф. (Мексика), Джунушалиев В.Д. проф. (Қырғыстан) Вишневский И.Н. проф., академик (Украина) Ковалев А.М. проф., академик (Украина) Михалевич А.А. проф., академик (Белорус) Пашаев А. проф., академик (Əзірбайжан) Такибаев Н.Ж. проф., академик (Қазақстан), бас ред. орынбасары Тигиняну И. проф., академик(Молдова) «ҚР ҰҒА Хабарлары. Физика-математикалық сериясы».

Physics Letters, Jun 1, 2014

Motion of curves and surfaces in R 3 lead to nonlinear evolution equations which are often integr... more Motion of curves and surfaces in R 3 lead to nonlinear evolution equations which are often integrable. They are also intimately connected to the dynamics of spin chains in the continuum limit and integrable soliton systems through geometric and gauge symmetric connections/equivalence. Here we point out the fact that a more general situation in which the curves evolve in the presence of additional self consistent vector potentials can lead to interesting generalized spin systems with self consistent potentials or soliton equations with self consistent potentials. We obtain the general form of the evolution equations of underlying curves and report specific examples of generalized spin chains and soliton equations. These include principal chiral model and various Myrzakulov spin equations in (1+1) dimensions and their geometrically equivalent generalized nonlinear Schrödinger (NLS) family of equations, including Hirota-Maxwell-Bloch equations, all in the presence of self consistent potential fields. The associated gauge equivalent Lax pairs are also presented to confirm their integrability.

Л.Н. Гумилев атындағы Еуразия ұлттық университетінің хабаршысы, 2018

arXiv (Cornell University), Jan 5, 2019

We propose a new integrable coupled dispersionless equation with self-consistent sources (CDESCS)... more We propose a new integrable coupled dispersionless equation with self-consistent sources (CDESCS). We obtain the Lax pair and the equivalent generalized Heisenberg ferromagnet equation (GHFE), demonstrating its integrability. Specifically, we explore the geometry of these equations. Last, we consider the relation between the motion of curves/surfaces and the CDESCS and the GHFE.

arXiv (Cornell University), Mar 28, 2019

We study nonlocal reductions of coupled equations in 1 + 1 dimensions of the Heisenberg ferromagn... more We study nonlocal reductions of coupled equations in 1 + 1 dimensions of the Heisenberg ferromagnet type. The equations under consideration are completely integrable and have a Lax pair related to a linear bundle in pole gauge. We describe the integrable hierarchy of nonlinear equations related to our system in terms of generating operators. We present some special solutions associated with four distinct discrete eigenvalues of scattering operator. Using the Lax pair diagonalization method, we derive recurrence formulas for the conserved densities and find the first two simplest conserved densities. Contents 1 Introduction 1 2 Lax Representation 3 3 Integrable Hierarchies 4 4 Special Solutions 6 5 Integrals of Motion 11 6 Conclusion 13

Journal of physics, Feb 1, 2018

In this work, we present Lax pair for two-dimensional complex modified Kortewegde Vries and Maxwe... more In this work, we present Lax pair for two-dimensional complex modified Kortewegde Vries and Maxwell-Bloch (cmKdV-MB) system with the time-dependent coefficient. Dark and bright soliton solutions for the cmKdV-MB system with variable coefficient are received by Darboux transformation. Moreover, the determinant representation of the one-fold and twofold Darboux transformation for the cmKdV-MB system with time-dependent coefficient is presented.

The Eurasia Proceedings of Science Technology Engineering and Mathematics, Dec 4, 2018

Integrable nonlinear differential equations are an important class of nonlinear wave equations th... more Integrable nonlinear differential equations are an important class of nonlinear wave equations that admit exact soliton of the solutions. In order to construct such equations tend to apply the method of mathematical physics, the inverse scattering problem method (ISPM), which was discovered in 1967 by Gardner, Green, Kruskal, and Miura. This method allows to solve more complicated problems. One of these equations is the (1+1)-dimensional integrable Fokas-Lenells equation, which was obtained by the bi-Hamiltonian method and appears as an integrable generalization of the nonlinear Schrödinger equation. In this paper, we have examined the (1+1)-dimensional Fokas-Lenells equation and in order to find more interesting solutions we have constructed the (2+1)-dimensional integrable Fokas-Lenells equation, whose integrability are ensured by the existence of the Lax representation for it. In addition, using the Hirota's method a bilinear form of the equation is constructed which was found by us, through which can be find its exact multisoliton solutions and build their graphs.

arXiv (Cornell University), Jan 13, 2021

In this article, the generalized gravity theory with the curvature, torsion and nonmetricity was ... more In this article, the generalized gravity theory with the curvature, torsion and nonmetricity was studied. For the FRW spacetime case, in particular, the Lagrangian, Hamilatonian and gravitational equations are obtained. The particular case F (R, T) = αR + βT + µQ + νT is investigated in detail. In quantum case, the corresponding Wheeler-DeWitt equation is obtained. Finally, some gravity theories with the curvature, torsion and nonmetricity are presented.