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Titlebook: Nonlinear Evolution Equations and Dynamical Systems; Needs ’90 Vladimir G. Makhankov,Oktay K. Pashaev Conference proceedings 1991 Springer-

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發(fā)表于 2025-3-21 19:07:01 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Nonlinear Evolution Equations and Dynamical Systems
副標題Needs ’90
編輯Vladimir G. Makhankov,Oktay K. Pashaev
視頻videohttp://file.papertrans.cn/668/667485/667485.mp4
叢書名稱Research Reports in Physics
圖書封面Titlebook: Nonlinear Evolution Equations and Dynamical Systems; Needs ’90 Vladimir G. Makhankov,Oktay K. Pashaev Conference proceedings 1991 Springer-
出版日期Conference proceedings 1991
關(guān)鍵詞Dynamische Systeme; Integrable Hamilton Systeme; Integrable Hamiltonian Systems; Inverse Scattering Tra
版次1
doihttps://doi.org/10.1007/978-3-642-76172-0
isbn_softcover978-3-540-53294-1
isbn_ebook978-3-642-76172-0Series ISSN 0939-7426
issn_series 0939-7426
copyrightSpringer-Verlag Berlin Heidelberg 1991
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沙發(fā)
發(fā)表于 2025-3-21 20:51:47 | 只看該作者
Hirota Equations of Level > 1], For a given fundamental representation of an affine Lie algebra the theory was extended to highest weight irreducible modules that is . of arbitrary level in [3] by Lepowsky and Wilson. We shall use their level 2 representation for the principally twisted realisation of .. to derive the corresponding Hirota equations.
板凳
發(fā)表于 2025-3-22 02:27:35 | 只看該作者
On the Integration of the Infinite Toda Lattice. Daletsky, G. B. Podkolzin and N. V. Jernakov (see C33 for the references). In this report for an arbitrary bounded initial data we obtain formulae for the coefficients of series, that represent solutions of the system (1).
地板
發(fā)表于 2025-3-22 06:56:16 | 只看該作者
From Polynomial Solutions to a “General” Solution of the BKP Equatione direct method point of view it is the fact that the fundamental polynomial solution of the (Hirota form of the) KP equation are . that gives the clearest suggestion and the main consequence of the above observation is that the technique is restricted to equations of the (reduced) bilinear KP and n-component KP hierarchies (Sato 1981).
5#
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6#
發(fā)表于 2025-3-22 14:27:33 | 只看該作者
7#
發(fā)表于 2025-3-22 19:46:15 | 只看該作者
Exactly Solvable Nonlinear Evolution Equations Expressed by Trilinear Formerminants[1]. The theory of τ function developed by Sato et al. strongly relies on this fact [2-5]. Then an interesting question is whether it is possible to extend the soliton equations from the point of view.
8#
發(fā)表于 2025-3-23 00:43:16 | 只看該作者
Integrable , ≤ O Component Nonlinear Schr?dinger Model, Phase Transitions and Supersymmetrye in the form of the vector or matrix Nonlinear Schr?dinger Equations (NLSE) with global symmetry in the space of order parameters [3]. The close analogies between antiferromagnetism and superfluidity in the context of classical integrable models have exact meaning in the form of the gauge-equivalence of the Heisenberg model and NLSE.
9#
發(fā)表于 2025-3-23 04:56:44 | 只看該作者
Recent Developments in Multidimensional Inverse Scatteringnonlocal RH problem, it is possible to use the same analytic structure associated with decaying solutions to capture bounded but non-decaying solutions. In particular this method is capable of capturing dromions as well as perturbations of line-solitons. This extended dressing method for nonlocal RH problems is illustrated in §2.
10#
發(fā)表于 2025-3-23 09:21:51 | 只看該作者
“Nonstandard” Classes of Integrable Equations in 1+1 and 2+1 Dimensions for these constructions is a “r-matrix”, which -in the simplest cases- is obtained by a decomposition of the underlying algebra . of Lax operators under consideration: if . = .+⊕.- with Lie subalgebras .±, then the map . given by .:=.?P? provides an instance of such a .-matrix. Here .? are the proj
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