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標(biāo)題: Titlebook: Algebraic Aspects of Integrable Systems; In Memory of Irene D A. S. Fokas,I. M. Gelfand Book 1997 Birkh?user Boston 1997 algebra.differenti [打印本頁(yè)]

作者: T-Lymphocyte    時(shí)間: 2025-3-21 18:07
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作者: intrigue    時(shí)間: 2025-3-21 20:51
Automorphic Pseudodifferential Operators,phic behaviour. In the simplest case, this correspondence is as follows. Let Γ be a discrete subgroup of ..(?) acting on the complex upper half-plane . in the usual way, and . a modular form of even weight . on Γ. Then there is a unique lifting from . to a Γ-invariant ΨDO with leading term .?., wher
作者: 中國(guó)紀(jì)念碑    時(shí)間: 2025-3-22 03:59

作者: badinage    時(shí)間: 2025-3-22 07:14

作者: 流利圓滑    時(shí)間: 2025-3-22 10:35

作者: SHRIK    時(shí)間: 2025-3-22 14:28
Compatibility in Abstract Algebraic Structures,the structure given by compatibility is bound to the situation of hamiltonian dynamic systems and how much of that can be transferred to a complete abstract situation where the algebraic structures under consideration are given by bilinear maps on some module over a commutative ring. Under suitable
作者: paragon    時(shí)間: 2025-3-22 20:24
A Theorem of Bochner, Revisited,s names of additional, master or conformal symmetries. They were discovered by Fokas, Fuchssteiner and Oevel [9], [10], [25], Chen, Lee and Lin [4] and Orlov and Schulman [26]. They are intimately related to the bihamiltonian nature of the equations of the theory of solitons which was pioneered in t
作者: Bouquet    時(shí)間: 2025-3-22 23:21
Obstacles to Asymptotic Integrability,and show that the analysis of the higher order terms provides a sufficient condition for asymptotic integrability of the original equation. The nonintegrable effects, which we call “obstacles” to the integrability, are shown to result in an inelasticity in soliton interaction. The main technique use
作者: 潛移默化    時(shí)間: 2025-3-23 01:33
Infinitely-Precise Space-Time Discretizations of the Equation ut + uux = 0, of the Volterra system is preserved exactly. Since in the space-continuous limit the Volterra system turns into the basic nonlinear infinite-dimensional dynamical system .. + .. = 0, the Volterra conservation laws are discretizations of the conservation laws (../.). + [(../(.+1)] . = 0, . ∈ ..
作者: Evolve    時(shí)間: 2025-3-23 07:15
Trace Formulas and the Canonical 1-Form,ted by pairs QP of smooth functions of period 1, equipped with the classical 1-form QdP = ∫. [.].. The introduction of canon- ically paired coordinates .... : . ∈ ?, as in Sections 2 and 6 below, suggests the identity . = Σ....., up to an additive exact form, and this may be verified, as in Sections
作者: Encapsulate    時(shí)間: 2025-3-23 11:52

作者: Presbyopia    時(shí)間: 2025-3-23 14:49

作者: 脫毛    時(shí)間: 2025-3-23 18:58
,Multiscale Expansions, Symmetries and the Nonlinear Schr?dinger Hierarchy,ons, using a multitime expansion. In the case of pure radiation, we show that the asymptotic character of this expansion is guaranted by requiring that the modulation of the leading amplitude of the waves satisfy the nonlinear Schrodinger hierarchy of evolution equations with respect to the slow spa
作者: BIDE    時(shí)間: 2025-3-23 23:04

作者: 迅速飛過(guò)    時(shí)間: 2025-3-24 02:59
https://doi.org/10.1007/3-7908-1670-1oes into the continuous one in a suitable asymptotic limit, together with integrals of motion and Poisson structure, or require that Poisson structure and integrals of motion be exactly preserved by the discretisation. Stationary or restricted flow technique typically lead to discretisation of the f
作者: 可忽略    時(shí)間: 2025-3-24 06:39
On the r-Matrix Structure of the Neumann System and its Discretizations,oes into the continuous one in a suitable asymptotic limit, together with integrals of motion and Poisson structure, or require that Poisson structure and integrals of motion be exactly preserved by the discretisation. Stationary or restricted flow technique typically lead to discretisation of the f
作者: Tinea-Capitis    時(shí)間: 2025-3-24 12:39

作者: FEMUR    時(shí)間: 2025-3-24 17:37

作者: 配置    時(shí)間: 2025-3-24 20:09
A Theorem of Bochner, Revisited,d Orlov and Schulman [26]. They are intimately related to the bihamiltonian nature of the equations of the theory of solitons which was pioneered in the work of Magri [23] and Gel’fand and Dorfman [11].
作者: macrophage    時(shí)間: 2025-3-25 00:07

作者: 浮雕寶石    時(shí)間: 2025-3-25 06:00

作者: thrombosis    時(shí)間: 2025-3-25 07:39
Immaculate K. Namukas,Ronald Buyesic approach to constructing a wide variety of integrable bi-Hamiltonian equations. In addition to usual soliton equations, these new hierarchies include equations with nonlinear dispersion which support novel types of solitonic solutions.
作者: BOLT    時(shí)間: 2025-3-25 14:37
Automorphic Pseudodifferential Operators,ilinear maps on the space of modular forms on Γ defined by certain bilinear combinations of derivatives; the definition will be recalled later). This was already discussed briefly in the earlier paper [Z], where it was given as one of several “raisons d’être” for the Rankin-Cohen brackets.
作者: hermetic    時(shí)間: 2025-3-25 15:50

作者: Atmosphere    時(shí)間: 2025-3-25 23:17
,On τ-Functions of Zakharov—Shabat and Other Matrix Hierarchies of Integrable Equations,rarchy is used. This method goes immediately from definitions and does not require any assumption about the character of a solution, being the most general. Applied to the matrix hierarchies, this involves considerable sophistication. The paper is self-contained and does not expect any special prerequisite from a reader.
作者: PANG    時(shí)間: 2025-3-26 03:33

作者: ADORE    時(shí)間: 2025-3-26 05:33

作者: 商談    時(shí)間: 2025-3-26 10:09
Obstacles to Asymptotic Integrability,d in this paper is an extension of the normal form theory developed by Kodama and the approximate symmetry approach proposed by Mikhailov. We also discuss the case of the KP equation with the higher order corrections, a quasi-two dimensional extension of weakly dispersive nonlinear waves.
作者: cacophony    時(shí)間: 2025-3-26 16:07

作者: 煤渣    時(shí)間: 2025-3-26 19:36
https://doi.org/10.1007/978-3-319-29367-7rarchy is used. This method goes immediately from definitions and does not require any assumption about the character of a solution, being the most general. Applied to the matrix hierarchies, this involves considerable sophistication. The paper is self-contained and does not expect any special prerequisite from a reader.
作者: 夸張    時(shí)間: 2025-3-26 21:05

作者: CHIP    時(shí)間: 2025-3-27 04:36

作者: 雄辯    時(shí)間: 2025-3-27 08:03

作者: Incumbent    時(shí)間: 2025-3-27 10:55

作者: 性學(xué)院    時(shí)間: 2025-3-27 15:52

作者: 接觸    時(shí)間: 2025-3-27 21:03
Infinitely-Precise Space-Time Discretizations of the Equation ut + uux = 0, of the Volterra system is preserved exactly. Since in the space-continuous limit the Volterra system turns into the basic nonlinear infinite-dimensional dynamical system .. + .. = 0, the Volterra conservation laws are discretizations of the conservation laws (../.). + [(../(.+1)] . = 0, . ∈ ..
作者: infarct    時(shí)間: 2025-3-27 22:41

作者: TRACE    時(shí)間: 2025-3-28 04:37

作者: 草率女    時(shí)間: 2025-3-28 06:28

作者: 使顯得不重要    時(shí)間: 2025-3-28 10:30
Mullikottu-Veettil Mukundan,Mark Brayphic behaviour. In the simplest case, this correspondence is as follows. Let Γ be a discrete subgroup of ..(?) acting on the complex upper half-plane . in the usual way, and . a modular form of even weight . on Γ. Then there is a unique lifting from . to a Γ-invariant ΨDO with leading term .?., wher
作者: STELL    時(shí)間: 2025-3-28 18:29

作者: fetter    時(shí)間: 2025-3-28 22:12

作者: intertwine    時(shí)間: 2025-3-29 01:39
https://doi.org/10.1007/978-90-481-2703-0 written in stationary manifold coordinates, which demonstrates the close relationship between the Hamiltonian formulations of nonlinear evolution equation (PDE) and its stationary reduction. We illustrate these ideas in the context of the KdV and 5. order KdV equations..We then apply these ideas to
作者: Analogy    時(shí)間: 2025-3-29 06:29
Immaculate K. Namukas,Ronald Buyethe structure given by compatibility is bound to the situation of hamiltonian dynamic systems and how much of that can be transferred to a complete abstract situation where the algebraic structures under consideration are given by bilinear maps on some module over a commutative ring. Under suitable
作者: 暫時(shí)別動(dòng)    時(shí)間: 2025-3-29 09:46

作者: 歌唱隊(duì)    時(shí)間: 2025-3-29 12:04
https://doi.org/10.1007/3-7908-1670-1and show that the analysis of the higher order terms provides a sufficient condition for asymptotic integrability of the original equation. The nonintegrable effects, which we call “obstacles” to the integrability, are shown to result in an inelasticity in soliton interaction. The main technique use
作者: 蚊帳    時(shí)間: 2025-3-29 18:54

作者: keloid    時(shí)間: 2025-3-29 21:58

作者: Oratory    時(shí)間: 2025-3-30 01:24

作者: 暴發(fā)戶    時(shí)間: 2025-3-30 07:58

作者: 印第安人    時(shí)間: 2025-3-30 11:33

作者: 向宇宙    時(shí)間: 2025-3-30 15:03
Decentralised Internet of Thingsations for the monodromy matrix. A nonultralocal quantum algebras on the lattices for these systems are constructed. For some class of such algebras an ultralocalization procedure is proposed. The technique of the modified Bethe-Anzatz for these algebras is developed and is applied to the nonlinear
作者: 青春期    時(shí)間: 2025-3-30 17:07

作者: 笨拙的我    時(shí)間: 2025-3-31 00:21
1421-1750 Overview: 978-1-4612-7535-0978-1-4612-2434-1Series ISSN 1421-1750 Series E-ISSN 2374-0280
作者: 蔑視    時(shí)間: 2025-3-31 02:56

作者: INCH    時(shí)間: 2025-3-31 05:42
https://doi.org/10.1007/3-7908-1670-1 of the Volterra system is preserved exactly. Since in the space-continuous limit the Volterra system turns into the basic nonlinear infinite-dimensional dynamical system .. + .. = 0, the Volterra conservation laws are discretizations of the conservation laws (../.). + [(../(.+1)] . = 0, . ∈ ..
作者: 鬼魂    時(shí)間: 2025-3-31 10:33

作者: 植物學(xué)    時(shí)間: 2025-3-31 17:14
Decentralised Internet of Thingsations for the monodromy matrix. A nonultralocal quantum algebras on the lattices for these systems are constructed. For some class of such algebras an ultralocalization procedure is proposed. The technique of the modified Bethe-Anzatz for these algebras is developed and is applied to the nonlinear sigma model problem.
作者: enflame    時(shí)間: 2025-3-31 19:22
Progress in Nonlinear Differential Equations and Their Applicationshttp://image.papertrans.cn/a/image/152551.jpg




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