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

誰(shuí)在削木頭

granite

階層

gregarious

精致

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

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有權(quán)威

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

喃喃而言

乳汁

“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

PLAYS

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