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Nonlinear Super Integrable Couplings of A Super Integrable Hierarchy and Its Super Hamiltonian Structures
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作者 TAO Si-xing 《Chinese Quarterly Journal of Mathematics》 2018年第2期181-193,共13页
Nonlinear super integrable couplings of a super integrable hierarchy based upon an enlarged matrix Lie super algebra were constructed. Then its super Hamiltonian structures were established by using super trace identi... Nonlinear super integrable couplings of a super integrable hierarchy based upon an enlarged matrix Lie super algebra were constructed. Then its super Hamiltonian structures were established by using super trace identity, and the conserved functionals were proved to be in involution in pairs under the defined Poisson bracket. As its reduction,special cases of this nonlinear super integrable couplings were obtained. 展开更多
关键词 Lie super algebra Nonlinear super integrable couplings A super integrable hierarchy super Hamiltonian structures
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Fermionic Covariant Prolongation Structure for a Super Nonlinear Evolution Equation in 2+1 Dimensions
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作者 颜昭雯 王晓丽 李民丽 《Chinese Physics Letters》 SCIE CAS CSCD 2017年第7期10-14,共5页
The integrability of a (2+1)-dimensional super nonlinear evolution equation is analyzed in the framework of the fermionie covariant prolongation structure theory. We construct the prolongation structure of the mult... The integrability of a (2+1)-dimensional super nonlinear evolution equation is analyzed in the framework of the fermionie covariant prolongation structure theory. We construct the prolongation structure of the multidimen- sional super integrable equation and investigate its Lax representation. Furthermore, the Backlund transformation is presented and we derive a solution to the super integrable equation. 展开更多
关键词 Fermionic Covariant Prolongation structure for a super Nonlinear Evolution Equation in 2+1 Dimensions NEE
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A new six-component super soliton hierarchy and its self-consistent sources and conservation laws 被引量:1
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作者 魏含玉 夏铁成 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第1期394-399,共6页
A new six-component super soliton hierarchy is obtained based on matrix Lie super algebras. Super trace identity is used to furnish the super Hamiltonian structures for the resulting nonlinear super integrable hierarc... A new six-component super soliton hierarchy is obtained based on matrix Lie super algebras. Super trace identity is used to furnish the super Hamiltonian structures for the resulting nonlinear super integrable hierarchy. After that, the self- consistent sources of the new six-component super soliton hierarchy are presented. Furthermore, we establish the infinitely many conservation laws for the integrable super soliton hierarchy. 展开更多
关键词 super Hamiltonian structures self-consistent sources conservation laws Fermi variable
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A Super Extension of Kaup-Newell Hierarchy
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作者 耿献国 吴丽华 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第10期594-598,共5页
With the help of the zero-curvature equation and the super trace identity, we derive a super extensionof the Kaup-Newell hierarchy associated with a 3×3 matrix spectral problem and establish its super bi-Hamilton... With the help of the zero-curvature equation and the super trace identity, we derive a super extensionof the Kaup-Newell hierarchy associated with a 3×3 matrix spectral problem and establish its super bi-Hamiltonianstructures.Furthermore, infinite conservation laws of the super Kaup-Newell equation are obtained by using spectralparameter expansions. 展开更多
关键词 super nonlinear evolution equations super bi-Hamiltonian structures conservation laws
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Nonlinear Super Integrable Couplings of a Super Integrable Hierarchy
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作者 Sixing Tao 《Journal of Applied Mathematics and Physics》 2016年第4期648-654,共7页
Nonlinear super integrable couplings of a super integrable hierarchy based upon an enlarged matrix Lie super algebra were constructed. And its super Hamiltonian structures were established by using super trace identit... Nonlinear super integrable couplings of a super integrable hierarchy based upon an enlarged matrix Lie super algebra were constructed. And its super Hamiltonian structures were established by using super trace identity. As its reduction, special cases of this nonlinear super integrable coupling were obtained. 展开更多
关键词 Lie super Algebra Nonlinear super Integrable Couplings A super Integrable Hierarchy super Hamiltonian structures
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Influence of Gaps Between Multiple Floating Bodies on Wave Forces 被引量:25
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作者 缪国平 H. Ishida T. Saitoh 《China Ocean Engineering》 SCIE EI 2000年第4期407-422,共16页
The present study aims to give general hints about hydrodynamic interactions for water wave diffraction on a super large floating structure composed of a large number of box-shaped modules with many small gaps in betw... The present study aims to give general hints about hydrodynamic interactions for water wave diffraction on a super large floating structure composed of a large number of box-shaped modules with many small gaps in between. And meanwhile, it also aims to seek for an effective way to take the gap influence into consideration without numerical difficulties existing in conventional methods. An asymptotic matching technique is exploited by virtue of the smallness of gaps. Formal potential solutions are established for the near field around the gap ends and the far field away from gap ends, respectively, and the unknowns in those solutions are uniquely determined by asymptotic matching. The eigen-function expansion method is used for the outer far field and a series of pulsating sources at each gap end is introduced to simulate the gap influence. Strong hydrodynamic interaction is observed and a new resonant phenomenon, the mechanism of which differs absolutely from any known ones, is revealed in the present study. Sharp peak responses for both vertical and horizontal wave-exciting forces on each block are found around some special resonance frequencies, which depend on the draft of the structure and the gap width. The present results are of practical significance to the design of links (connectors) of modules for super large floating structures. And the importance is also closely related to the hydro-elasticity analysis for super large floating structures, in which local loads may be as important as the integrated loads. 展开更多
关键词 super large floating structure wave interaction RESONANCE gap influence
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Nonlinear Super Integrable Couplings of Super Dirac Hierarchy and Its Super Hamiltonian Structures 被引量:4
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作者 尤福财 《Communications in Theoretical Physics》 SCIE CAS CSCD 2012年第6期961-966,共6页
We construct nonlinear super integrable couplings of the super integrable Dirac hierarchy based on an enlarged matrix Lie superalgebra.Then its super Hamiltonian structure is furnished by super trace identity.As its r... We construct nonlinear super integrable couplings of the super integrable Dirac hierarchy based on an enlarged matrix Lie superalgebra.Then its super Hamiltonian structure is furnished by super trace identity.As its reduction,we gain the nonlinear integrable couplings of the classical integrable Dirac hierarchy. 展开更多
关键词 Lie superalgebra nonlinear super integrable couplings super Dirac hierarchy super Hamiltonian structures
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Self-assembly Behavior of Copolymers with Super Segregated Structure Containing Fluorinated Segments
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作者 Jin-ni Deng Wen-bin Wang +2 位作者 Zhao-hui Zheng 丁小斌 Yu-xing Peng 《Chinese Journal of Polymer Science》 SCIE CAS CSCD 2014年第7期817-817,818-822,共6页
Copolymers with super segregated structure of hydrophilic methoxy poly(ethylene glycol) (mPEG) and fluorophilic poly(1H,1H,2H,2H-perfluorodecyl acrylate) (PFA) were prepared. And just because of this super seg... Copolymers with super segregated structure of hydrophilic methoxy poly(ethylene glycol) (mPEG) and fluorophilic poly(1H,1H,2H,2H-perfluorodecyl acrylate) (PFA) were prepared. And just because of this super segregated structure which was resulted from the extremely strong incompatibility between the two blocks, several interesting self- assembly behaviors of the copolymers were displayed and studied under different conditions. Transmission electron microscope (TEM) showed that with the increase of PFA in the polymerization system, the incompatibility in this super segregated structure became stronger, and the self-assembly behavior changed from ball-like or rod-like to vesicles, and finally collapsed to sheet-like. The self-assembly behavior changed likewise when the initial concentration increased. And the interesting formation of these barrel-like and spindle-like vesicles was finally studied with different cooling speeds. It's finally found that with this super segregation structure, these new self-assembly morphology might be formed due to the extremely strong incompatibility between mPEG and PFA segments. 展开更多
关键词 super segregated structure Self-assembly behavior Barrel-like and spindle-like vesicles.
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Constructing super D-Kaup-Newell hierarchy and its nonlinear integrable coupling with self-consistent sources
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作者 Hanyu WEI Tiecheng XIA 《Frontiers of Mathematics in China》 SCIE CSCD 2019年第6期1353-1366,共14页
How to construct new super integrable equation hierarchy is an important problem.In this paper,a new Lax pair is proposed and the super D-Kaup-Newell hierarchy is generated,then a nonlinear integrable coupling of the ... How to construct new super integrable equation hierarchy is an important problem.In this paper,a new Lax pair is proposed and the super D-Kaup-Newell hierarchy is generated,then a nonlinear integrable coupling of the super D-Kaup-Newcll hierarchy is constructed.The super Hamiltonian structures of coupling equation hierarchy is derived with the aid of the super variational identity.Finally,the self-consistent sources of super integrable coupling hierarchy is established.It is indicated that this method is a straightforward and efficient way to construct the super integrable equation hierarchy. 展开更多
关键词 super D-Kaup-Newell hierarchy nonlinear integrable coupling super Hamiltonian structures self-consistent sources
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Green Construction of National Speed Skating Oval 被引量:1
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作者 Jiulin LI Limin CHEN +1 位作者 Hao XU Jianlin WANG 《Frontiers of Engineering Management》 2022年第1期170-176,共7页
1 Background As the basic principle of the world economy,environment,and social development,sustainable development is the focus of the international community today.In the Olympic Agenda 2020 published by the Interna... 1 Background As the basic principle of the world economy,environment,and social development,sustainable development is the focus of the international community today.In the Olympic Agenda 2020 published by the International Olympic Committee(IOC),sustainable development was officially listed as one of the core concepts of the Olympic Games.Since the beginning of the bid,the concept of ctathlete-centered,sustainable and economical”was proposed,which was highly consistent with the idea of the Olympic Agenda 2020.To implement the concept of holding“green”Olympic Games and meet the sustainability requirements of the IOC,the Organizing Committee of Beijing Winter Olympic Games issued a series of documents related to the sustainability of sports venues such as Sustainability Policies for 2022 Beijing Winter Olympic Games and Winter Paralympic Games,and strived to realize the sustainable development of sports venues in the whole life cycle of planning and design stage,construction stage,operation stage,and post-game utilization. 展开更多
关键词 super large-span cable net structure CO_(2)Transcritical Direct-cooling Ice Making System dynamic high-precision construction measurement green construction National Speed Skating Oval
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