6,361 research outputs found

    Lenard scheme for two dimensional periodic Volterra chain

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    We prove that for compatible weakly nonlocal Hamiltonian and symplectic operators, hierarchies of infinitely many commuting local symmetries and conservation laws can be generated under some easily verified conditions no matter whether the generating Nijenhuis operators are weakly nonlocal or not. We construct a recursion operator of the two dimensional periodic Volterra chain from its Lax representation and prove that it is a Nijenhuis operator. Furthermore we show this system is a (generalised) bi-Hamiltonian system. Rather surprisingly, the product of its weakly nonlocal Hamiltonian and symplectic operators gives rise to the square of the recursion operator.Comment: Submit to Journal of Mathematical Physic

    Integrable Systems in n-dimensional Riemannian Geometry

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    In this paper we show that if one writes down the structure equations for the evolution of a curve embedded in an (n)-dimensional Riemannian manifold with constant curvature this leads to a symplectic, a Hamiltonian and an hereditary operator. This gives us a natural connection between finite dimensional geometry, infinite dimensional geometry and integrable systems. Moreover one finds a Lax pair in (\orth{n+1}) with the vector modified Korteweg-De Vries equation (vmKDV) \vk{t}= \vk{xxx}+\fr32 ||\vk{}||^2 \vk{x} as integrability condition. We indicate that other integrable vector evolution equations can be found by using a different Ansatz on the form of the Lax pair. We obtain these results by using the {\em natural} or {\em parallel} frame and we show how this can be gauged by a generalized Hasimoto transformation to the (usual) {\em Fren{\^e}t} frame. If one chooses the curvature to be zero, as is usual in the context of integrable systems, then one loses information unless one works in the natural frame

    Recursion operator of the Narita-Itoh-Bogoyavlensky lattice

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    We construct a recursion operator for the family of Narita-Itoh-Bogoyavlensky infinite lattice equations using its Lax presentation and present their mastersymmetries and bi-Hamiltonian structures. We show that this highly nonlocal recursion operator generates infinite many local symmetries

    The Infiltration and Practice of Engineering Quality for Specialty Cultivating in Environmental Engineering

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    It is determined the future of China's environmental protection for the quality of environmental engineering talent. By exploring the characteristics and contents of the engineering quality, analyzing the requirements of engineering quality of environmental engineering students, it is required to specify the objectives of the project, to reform the teaching content and methods, to carry out extracurricular research activities, to strengthen the students quality of the engineering quality education. In order to cultivate more high quality compound talents, which is needed by environmental engineering for strengthen the students' engineering quality education Keywords: Environmental engineering, Engineering quality, Teaching practic

    The Infiltration Education of Environmental Protection Consciousness on the Analysis Chemistry Teaching

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    Infiltrate environmental protection awareness into the teaching of analytical chemistry, and combine environmental education and analytical chemistry teaching organically. In order to improve the students' consciousness of environmental protection, strengthen students' self-consciousness and sense of responsibility of environmental protection. Keywords: Environmental protection; Analysis chemistry; Education refor

    Adsorption Behaviors of 2,4-Dichlorophenol onto Hypercross-linked Resins

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    Experimental investigations were conducted on the adsorption characteristics of 2,4 -dichlorophenol by two hypercross-linked resins JP-01 and XAD-4. The static adsorption was studied. Within temperature range of 288-313K, the equilibrium adsorption date was fitted to freundlich adsorption isotherm models to evaluate the model parameters. The enthalpies, free energy, entropy were indicative of an exothermic, a spontaneous and disorder decreasing process. The magnitudes for 2,4-dichlorophenol on JP-01 on XAD-4 show a physical adsorption process. The results showed that the JP-01 adsorbent was better than the Amberlite XAD-4 for removing the 2,4-dichlorophenol in aqueous solutions. Keywords: Hypercrosslinked resin; 2, 4- dichlorophenol; Thermodynamics adsorption

    Constriction on the Teaching Mode in Application of Practical Talents Training in Environmental Monitoring Curriculum

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    Based on the characteristics of environmental science, a new teaching mode in application of practical talents training in Environmental Science Curriculum teaching mode is proposed including the 3+1" talent training mode, online experiment teaching platform, diversified experimental teaching system, the entrepreneurship competition practice system,the service in coastal. It shows that the new teaching mode can effectively improve students' ability in comprehension, operation, experiment, innovation and practice. This is a beneficial exploration for achieving the target of cultivating students with professional skills and quality. Keywords: Environmental Science; Teaching mode; Practical Talents Training

    Construction on Practical Talents Training Mode in Environmental Monitoring Curriculum

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    Environmental Monitoring is a basic and comprehensive course for students majoring in environmental sciences and engineering. Based on the characteristics of this course, a new teaching mode in application of practical talents training in Environmental Monitoring Curriculum teaching mode is proposed including the new scheme of training applied talents, the new practical curriculums of developing innovative ability, the diversified practice platform for training talents, the extracurricular innovation experiment , the diversified social practice, the teaching reform project and results summary. It shows that the new teaching mode can effectively improve students' ability in comprehension, operation, experiment, innovation and practice. This is a beneficial exploration for achieving the target of cultivating students with professional skills and quality. Key words: Environmental Monitoring; teaching mode; Practical Talents Trainin

    Discussion on the Teaching Model of Engineering Practice Based on the Deep Cooperation between Universities and Enterprises

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    With the transformation of the concept of engineering and the concept of the culture, and the transformation of the culture, the school's cooperation has driven the innovation of the environmental science and engineering professional practical teaching model. Under the strong driving force of the current school enterprise depth cooperation, Yancheng Teachers University is based on the "deep expansion" of the school enterprise cooperation, through realizing the whole program of practical teaching, the development of the enterprise cooperation of the enterprise, the innovation and enterprise cooperation of the teaching curriculum system, the construction of practice teaching resources, the guarantee measures of strengthening the teaching innovation of practice teaching, etc., and try to explore the teaching mode of environment science and engineering professional practice. Keywords: Deep cooperation between universities and enterprises, Environmental science and engineering, Innovation of practical teaching mode
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