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Titlebook: The Problem of Integrable Discretization; Hamiltonian Approach Yuri B. Suris Book 2003 Springer Basel AG 2003 Lattice.Matrix.computational

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書目名稱The Problem of Integrable Discretization
副標(biāo)題Hamiltonian Approach
編輯Yuri B. Suris
視頻videohttp://file.papertrans.cn/918/917697/917697.mp4
概述Systematic Hamiltonian recipe of integrable discretization.Unique large collection of results about discrete integrable systems.Unfied treatment of the correspondent continuous integrable systems
叢書名稱Progress in Mathematics
圖書封面Titlebook: The Problem of Integrable Discretization; Hamiltonian Approach Yuri B. Suris Book 2003 Springer Basel AG 2003 Lattice.Matrix.computational
描述.The book explores the theory of discrete integrable systems, with an emphasis on the following general problem: how to discretize one or several of independent variables in a given integrable system of differential equations, maintaining the integrability property? This question (related in spirit to such a modern branch of numerical analysis as geometric integration) is treated in the book as an immanent part of the theory of integrable systems, also commonly termed as the theory of solitons.. .Among several possible approaches to this theory, the Hamiltonian one is chosen as the guiding principle. A self-contained exposition of the Hamiltonian (r-matrix, or "Leningrad") approach to integrable systems is given, culminating in the formulation of a general recipe for integrable discretization of r-matrix hierarchies. After that, a detailed systematic study is carried out for the majority of known discrete integrable systems which can be considered as discretizations of integrable ordinary differential or differential-difference (lattice) equations. This study includes, in all cases, a unified treatment of the correspondent continuous integrable systems as well. The list of systems
出版日期Book 2003
關(guān)鍵詞Lattice; Matrix; computational and mathematical physics; dynamical systems; numerical analysis
版次1
doihttps://doi.org/10.1007/978-3-0348-8016-9
isbn_softcover978-3-0348-9404-3
isbn_ebook978-3-0348-8016-9Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightSpringer Basel AG 2003
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Book 2003 of known discrete integrable systems which can be considered as discretizations of integrable ordinary differential or differential-difference (lattice) equations. This study includes, in all cases, a unified treatment of the correspondent continuous integrable systems as well. The list of systems
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978-3-0348-9404-3Springer Basel AG 2003
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Yuri B. SurisSystematic Hamiltonian recipe of integrable discretization.Unique large collection of results about discrete integrable systems.Unfied treatment of the correspondent continuous integrable systems
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,Chain Statistics — Helical Wormlike Chains, chains with different skeletal bond angles possess locally preferred helical conformations. Further, as anticipated in Chap. 3, it is impossible to assign local vectors and tensors to the KP chain unless they are parallel to and cylindrically symmetric about its contour, respectively.
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