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The constrained dispersionless mKP hierarchy and the dispersionless mKP hierarchy with self-consistent sources

Ting Xiao·Yunbo Zeng
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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.

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Ting Xiao, Yunbo Zeng. 2005-10-12. The constrained dispersionless mKP hierarchy and the dispersionless mKP hierarchy with self-consistent sources. https://doi.org/10.1016/j.physleta.2005.08.078

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