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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 2025-3-28 18:14:47 | 只看該作者
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發(fā)表于 2025-3-28 19:32:04 | 只看該作者
43#
發(fā)表于 2025-3-29 00:51:03 | 只看該作者
44#
發(fā)表于 2025-3-29 06:41:46 | 只看該作者
45#
發(fā)表于 2025-3-29 10:17:07 | 只看該作者
Recent Development for Integrable Integro-Differential Equationsthree types of the integrable integro-differential hierarchies which are deeply connected with each other. The first one is so called ILW2 hierarchy [1], [2], [4]. The second one is MILW. hierarchy [3] connected with the ILW. hierarchy via the generalized Miura transformation and finally the nonloca
46#
發(fā)表于 2025-3-29 15:24:07 | 只看該作者
47#
發(fā)表于 2025-3-29 19:22:56 | 只看該作者
A Derivation of Conserved Quantities and Symmetries for the Multi-Dimensional Soliton Equations number of conserved quantities and symmetries. Several methods have been proposed successfully to show these properties for the equations which have one spatial dimension[2]. However, for the higher dimensional cases or for the discrete equations, the problems are rather complicated and it is not s
48#
發(fā)表于 2025-3-29 22:41:07 | 只看該作者
49#
發(fā)表于 2025-3-30 02:14:53 | 只看該作者
“Nonstandard” Classes of Integrable Equations in 1+1 and 2+1 Dimensionsre . is a differential operator whose fractional powers .., . ∈ Q, can be defined by a suitable expansion in terms of pseudo-differential symbols. By (..). the projection to the purely differential part of this expansion is denoted. Thus, this construction turned out to be just a special case of a m
50#
發(fā)表于 2025-3-30 07:59:24 | 只看該作者
From Polynomial Solutions to a “General” Solution of the BKP Equations of solution to a large number of soliton equations (see for example Freeman and Nimmo 1983, Freeman 1984, Hirota 1986). One motivation for taking such an . is the version of the Darboux theorem (Darboux 1882) for the Schrodinger equation described by Crum (1955), and exploited in soliton theory by
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