Search results for: Youjin Zhang

Items from 1 to 20 out of 44 results

article

Bihamiltonian Cohomologies and Integrable Hierarchies II: The Tau Structures

Boris Dubrovin, Si-Qi Liu, Youjin Zhang

Communications in Mathematical Physics > 2018 > 361 > 2 > 467-524

Starting from a so-called flat exact semisimple bihamiltonian structure of hydrodynamic type, we arrive at a Frobenius manifold structure and a tau structure for the associated principal hierarchy. We then classify the deformations of the principal hierarchy which possess tau structures.

article

SmVO4 nanocrystals with dodecahedral shape: Controlled synthesis, growth mechanism and photoluminescent properties

Xianjin Ge, Youjin Zhang, Hai Wu, Maozhong Zhou, more

Materials Research Bulletin > 2018 > 97 > C > 81-88

Dodecahedral SmVO₄ nanocrystals with uniform size had been successfully synthesized by a facile hydrothermal process in the presence of potassium hydroxide and urea. The dodecahedron-like SmVO₄ was characterized by X-ray diffraction, field-emission scanning electron microscopy, Fourier transform infrared, X-Ray photoelectron spectroscopy, high-resolution transmission electron microscopy and photoluminescence...

article

Fractional Volterra hierarchy

Si-Qi Liu, Youjin Zhang, Chunhui Zhou

Letters in Mathematical Physics > 2018 > 108 > 2 > 261-283

The generating function of cubic Hodge integrals satisfying the local Calabi–Yau condition is conjectured to be a tau function of a new integrable system which can be regarded as a fractional generalization of the Volterra lattice hierarchy, so we name it the fractional Volterra hierarchy. In this paper, we give the definition of this integrable hierarchy in terms of Lax pair and Hamiltonian formalisms,...

article

Preparation of Gd(OH)3 large single crystals by solid KOH assisted hydrothermal method and their luminescent and magnetic properties

Hai Wu, Youjin Zhang, Maozhong Zhou, Chengpeng Yao, more

Materials Research Bulletin > 2016 > 80 > C > 80-87

Large single crystals of gadolinium hydroxide [Gd(OH)₃] in the length of several millimeters were successfully prepared by using solid KOH assisted hydrothermal method. Gd(OH)₃ samples were characterized by X-ray diffraction (XRD), 4-circle single-crystal diffraction, Fourier transform infrared (FTIR) spectroscopy and X-ray photoelectron spectroscopy (XPS). FESEM image shows hexagonal prism morphology...

article

Hodge integrals and tau-symmetric integrable hierarchies of Hamiltonian evolutionary PDEs

Boris Dubrovin, Si-Qi Liu, Di Yang, Youjin Zhang

Advances in Mathematics > 2016 > 293 > C > 382-435

For an arbitrary semisimple Frobenius manifold we construct Hodge integrable hierarchy of Hamiltonian partial differential equations. In the particular case of quantum cohomology the tau-function of a solution to the hierarchy generates the intersection numbers of the Gromov–Witten classes and their descendents along with the characteristic classes of Hodge bundles on the moduli spaces of stable maps...

article

Central invariants of the constrained KP hierarchies

Si-Qi Liu, Youjin Zhang, Xu Zhou

Journal of Geometry and Physics > 2015 > 97 > C > 177-189

We compute the central invariants of the bihamiltonian structures of the constrained KP hierarchies, and show that these bihamiltonian structures are topological deformations of their hydrodynamic limits.

article

Elliptic NdCrO₃ microplate by a simple one‐step hydrothermal synthesis route and its characterization and magnetic properties

Chengpeng Yao, Youjin Zhang, Yun Fan, Maozhong Zhou, more

Crystal Research and Technology > 50 > 7 > 566 - 573

Elliptic NdCrO₃ microplates were synthesized by a simple and facile one‐step hydrothermal method of processing temperature 280 °C for 3 days. The products prepared in this paper have been characterized by X‐ray diffraction (XRD), X‐ray photoelectron spectroscopy (XPS), X‐ray fluorescence (XRF), Fourier transform infrared spectroscopy (FTIR) and field‐emission scanning electron microscopy (FESEM)....

article

BCFG Drinfeld–Sokolov hierarchies and FJRW-theory

Si-Qi Liu, Yongbin Ruan, Youjin Zhang

Inventiones mathematicae > 2015 > 201 > 2 > 711-772

article

One-step hydrothermal synthesis, characterization and magnetic properties of orthorhombic PrCrO3 cubic particles

Youjin Zhang, Chengpeng Yao, Yun Fan, Maozhong Zhou

Materials Research Bulletin > 2014 > 59 > C > 387-393

Orthorhombic PrCrO₃ cubic particles were synthesized by a simple and facile one-step hydrothermal method of processing temperature 280°C for 7 days. The products prepared in this paper have been characterized by X-ray diffraction (XRD), X-ray photoelectron spectroscopy (XPS), Fourier transform infrared spectroscopy (FTIR) and field-emission scanning electron microscopy (FESEM). The magnetic properties...

article

Proof of a conjecture on the genus two free energy associated to the An singularity

Yulong Fu, Si-Qi Liu, Youjin Zhang, Chunhui Zhou

Journal of Geometry and Physics > 2014 > 76 > Complete > 10-24

In a recent paper Dubrovin et al. (1998), it is proved that the genus two free energy of an arbitrary semisimple Frobenius manifold can be represented as a sum of contributions associated with dual graphs of certain stable algebraic curves of genus two plus the so called genus two G-function, and for a certain class of Frobenius manifolds it is conjectured that the associated genus two G-functions...

article

Recent development in symmetries and integrability of difference equations

Xingbiao Hu, Qingping Liu, Senyue Lou, Changzheng Qu, more

Frontiers of Mathematics in China > 2013 > 8 > 5 > 999-1000

article

Uniqueness Theorem of $${\mathcal{W}}$$ W -Constraints for Simple Singularities

Si-Qi Liu, Di Yang, Youjin Zhang

Letters in Mathematical Physics > 2013 > 103 > 12 > 1329-1345

In a recent paper, Bakalov and Milanov (Compositio. Math. 149: 840–888, 2013) proved that the total descendant potential of a simple singularity satisfies the $${\mathcal{W}}$$ W -constraints, which come from the $${\mathcal{W}}$$ W -algebra of the lattice vertex algebra associated with the root lattice of this singularity and a twisted module of the vertex algebra. In the present...

article

Nuclear uncertainties in the s-process simulation

YouJin Zhang, YongShou Chen, JianYou Guo, SuQing Hou, more

Science China Physics, Mechanics & Astronomy > 2013 > 56 > 5 > 859-865

The heavy elements in the Universe are formed during the s- and r-processes mainly in AGB stars and supernovae, respectively. Simulation of s- and r-nucleosynthesis critically depends on the neutron capture and weak decay rates for all the nuclei on the reaction chain. The present work analyzes systematically the neutron capture rates (cross sections) for the s-process nuclei, including ∼3000 rates...

article

Bihamiltonian Cohomologies and Integrable Hierarchies I: A Special Case

Si-Qi Liu, Youjin Zhang

Communications in Mathematical Physics > 2013 > 324 > 3 > 897-935

We present some general results on properties of the bihamiltonian cohomologies associated to bihamiltonian structures of hydrodynamic type, and compute the third cohomology for the bihamiltonian structure of the dispersionless KdV hierarchy. The result of the computation enables us to prove the existence of bihamiltonian deformations of the dispersionless KdV hierarchy starting from any of its infinitesimal...

article

The inversion symmetry of the WDVV equations and tau functions

Si-Qi Liu, Dingdian Xu, Youjin Zhang

Physica D: Nonlinear Phenomena > 2012 > 241 > 23-24 > 2168-2177

For two solutions of the WDVV equations that are related by the inversion symmetry, we show that the associated principal hierarchies of integrable systems are related by a reciprocal transformation, and the tau functions of the hierarchies are related by a Legendre-type transformation. We also consider relationships between the Virasoro constraints and the topological deformations of the principal...

article

Controlled synthesis, characterization and photoluminescence property of olive-like tetragonal α-Nd2(MoO4)3

Youjin Zhang, Ao Zheng, Xiaozhi Yang, Hongmei He, more

Materials Research Bulletin > 2012 > 47 > 9 > 2364-2368

The olive-like tetragonal α-Nd ₂ (MoO ₄ ) ₃ was obtained by a convenient and facile complex agent assisted hydrothermal method. The product was characterized by X-ray diffraction (XRD), X-ray photoelectron spectroscopy (XPS), Fourier transform infrared (FTIR) spectroscopy, field-emission scanning electron microscopy (FESEM) and photoluminescence (PL). The possible formation...

article

Morphology-controlled synthesis, characterization, growth mechanism of SmOHCO3 with high uniform size and photoluminescence property of SmOHCO3:Eu3+

Youjin Zhang, Hongmei He, Xiaozhi Yang, Ao Zheng, more

Powder Technology > 2012 > 224 > Complete > 175-182

Octahedral and spherical SmOHCO ₃ particles with uniform sizes had been successfully synthesized on a large scale by a simple hydrothermal method using (NH ₂ ) ₂ CO as the precipitant without any complex agent. The SmOHCO ₃ crystal was characterized by X-ray diffraction, X-ray photoelectron spectroscopy, Fourier transform infrared spectroscopy, field-emission scanning...

article

Finite Element Model Updating Based on Field Quasi-static Generalized Influence Line and Its Bridge Engineering Application

Jingbo Liao, Guangwu Tang, Libo Meng, Huigeng Liu, more

Procedia Engineering > 2012 > 31 > Complete > 348-353

Finite element model updating is the important foundation of structural damage detection, condition assessment for engineering structure. A new method for finite element model updating based on the quasi-static generalized influence line (QSGIL) residual objection is presented to update the finite element model in order to improve the quality of finite element algorithm. The experimental study shows...

article

Self-assembled light lanthanide oxalate architecture with controlled morphology, characterization, growing mechanism and optical property

Hongmei He, Youjin Zhang, Wei Zhu, Ao Zheng

Materials Research Bulletin > 2011 > 46 > 10 > 1546-1552

Flower-like Sm ₂ (C ₂ O ₄ ) ₃ ·10H ₂ O had been synthesized by a facile complex agent assisted precipitation method. The flower-like Sm ₂ (C ₂ O ₄ ) ₃ ·10H ₂ O was characterized by X-ray diffraction, X-ray photoelectron spectroscopy, Fourier transform infrared spectroscopy, field-emission scanning electron microscopy,...

article

Controlled synthesis, characterization, mechanism, and photoluminescence property of nanoerythrocyte-like HoVO4 with high uniform size and morphology

Hongmei He, Youjin Zhang, Wei Zhu, Ao Zheng, more

Journal of Crystal Growth > 2011 > 329 > 1 > 71-76

Nanoerythrocyte-like, dodecahedron and nanoparticle HoVO ₄ with high uniform size had been successfully synthesized on a large scale by a simple and facile complex agent assisted hydrothermal method. The nanoerythrocyte-like HoVO ₄ was characterized by X-ray diffraction, X-ray photoelectron spectroscopy, Fourier transform infrared spectroscopy, field-emission scanning electron microscopy,...

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INFONA - science communication portal

Search results for: Youjin Zhang

Bihamiltonian Cohomologies and Integrable Hierarchies II: The Tau Structures

SmVO4 nanocrystals with dodecahedral shape: Controlled synthesis, growth mechanism and photoluminescent properties

Fractional Volterra hierarchy

Preparation of Gd(OH)3 large single crystals by solid KOH assisted hydrothermal method and their luminescent and magnetic properties

Hodge integrals and tau-symmetric integrable hierarchies of Hamiltonian evolutionary PDEs

Central invariants of the constrained KP hierarchies

Elliptic NdCrO₃ microplate by a simple one‐step hydrothermal synthesis route and its characterization and magnetic properties

BCFG Drinfeld–Sokolov hierarchies and FJRW-theory

One-step hydrothermal synthesis, characterization and magnetic properties of orthorhombic PrCrO3 cubic particles

Proof of a conjecture on the genus two free energy associated to the An singularity

Recent development in symmetries and integrability of difference equations

Uniqueness Theorem of $${\mathcal{W}}$$ W -Constraints for Simple Singularities

Nuclear uncertainties in the s-process simulation

Bihamiltonian Cohomologies and Integrable Hierarchies I: A Special Case

The inversion symmetry of the WDVV equations and tau functions

Controlled synthesis, characterization and photoluminescence property of olive-like tetragonal α-Nd2(MoO4)3

Morphology-controlled synthesis, characterization, growth mechanism of SmOHCO3 with high uniform size and photoluminescence property of SmOHCO3:Eu3+

Finite Element Model Updating Based on Field Quasi-static Generalized Influence Line and Its Bridge Engineering Application

Self-assembled light lanthanide oxalate architecture with controlled morphology, characterization, growing mechanism and optical property

Controlled synthesis, characterization, mechanism, and photoluminescence property of nanoerythrocyte-like HoVO4 with high uniform size and morphology

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