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

Exuberance

Miura Maps at the Turn of a Handleequence of Miura maps which ends in each case in a set of fields which obey so-called,coupled KdV equations. These equations include the KdV, Harry Dym, dispersive water waves and Ito’s equation. In other words they were able to show — using rather complicated arguments — in a unified way that

擁護(hù)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 so easy to give the explicit expressions.

Obstruction

Dromion Solutions for Generic NLS- and KdV-Type Equations and Korteweg- de Vries (KdV) type [1–3]. In the construction of these dromion solutions one has to make a clear distinction between the physical function and all the other functions that appear in the equation.

隱藏

小歌劇

別名

Multivalued Solitons for a Hybrid Type of the Modified WKI Equation and Related ProblemsWe discuss N multivalued soliton solution of a hybrid type of the modified WKI equation[l] and consider its relation to the equation of motion of a thin vortex filament and that of motion of a continuous Heisenberg spin system[2].

庇護(hù)

破布

Some Remarks on the Hirota Bilinear Identityematics (cf. [ 1;2;3;4;5;7;10;13]). Along with the resulting Hirota equations this has deep geometrical meaning and we indicate below also the nature of its conceptual connection to completeness for wave functions (cf. [1;3;4; 10;13]). Given the recent geometrical development of scattering for KdV f

Fester

Hirota Equations of Level > 1no problem in obtaining Hirota equations and the associated integrable systems for higher level representations. In this paper we give some of the Hirota equations associated with the level 2 principally twisted representation of ..., the detailed derivation and the soliton solutions are given in [2

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