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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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书目名称Nonlinear Evolution Equations and Dynamical Systems
副标题Needs ’90
编辑Vladimir G. Makhankov,Oktay K. Pashaev
视频video
丛书名称Research Reports in Physics
图书封面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
关键词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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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.
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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).
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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).
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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.
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Integrable , ≤ O Component Nonlinear Schrödinger Model, Phase Transitions and Supersymmetrye in the form of the vector or matrix Nonlinear Schrödinger 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.
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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.
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“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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