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The constrained dispersionless mKP hierarchy and the dispersionless mKP hierarchy with self-consistent sources | | Ting Xiao
; Yunbo Zeng
; | | Date: |
12 Oct 2005 | | Abstract: | We first show that the quasiclassical limit of the squared eigenfunction symmetry constraint of the Sato operator for the mKP hierarchy leads to a reduction of the Sato function for the dispersionless mKP hierarchy. The constrained dispersionless mKP hierarchy (cdmKPH) is obtained and it is shown that the (2+1)-dimensional dispersionless mKP hierarchy is decomposed to two (1+1)-dimensional hierarchies of hydrodynamical type. The dispersionless mKP hierarchy with self-consistent sources (dmKPHSCS) together with its associated conservation equations are also constructed. Some solutions of dmKPESCS are obtained by hodograph reduction method. | | Source: | arXiv, nlin.SI/0510022 | | Other source: | [GID 358616] nlin/0510022 | | Services: | Forum | Review | PDF | Favorites | |
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