The constrained dispersionless mKP hierarchy and the dispersionless mKP hierarchy with self-consistent sources
2005
Online
report
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.
Comment: 12 pages. to appear in Phys. Lett. A
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The constrained dispersionless mKP hierarchy and the dispersionless mKP hierarchy with self-consistent sources
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Autor/in / Beteiligte Person: | Xiao, Ting ; Zeng, Yunbo |
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Veröffentlichung: | 2005 |
Medientyp: | report |
DOI: | 10.1016/j.physleta.2005.08.078 |
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