谁在削木头 发表于 2025-3-28 18:14:47
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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 , , . The second one is MILW. hierarchy connected with the ILW. hierarchy via the generalized Miura transformation and finally the nonloca两栖动物 发表于 2025-3-29 15:24:07
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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. 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 发表于 2025-3-29 22:41:07
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“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 mPLAYS 发表于 2025-3-30 07:59:24
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