A new extended dispersionless mKP hierarchy and hodograph solution

A new extended dispersionless mKP hierarchy and hodograph solution
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DOI:
10.1016/j.cnsns.2011.11.027
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发表时间:
2012-07
影响因子:
3.9
通讯作者:
Hongxia Wu;Yunbo Zeng
Hongxia Wu;Yunbo Zeng
中科院分区:
数学2区
文献类型:
--
作者:
Hongxia Wu;Yunbo Zeng

文献摘要

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In this article, a new extended dispersionless mKP hierarchy (exdmKPH) is constructed to obtain two types of dispersionless mKP equations with self-consistent sources (dmKPSCS) and their associated conservation equations. Two reductions of this hierarchy are used to get two types of the corresponding dispersionless mKdV equations with self-consistent sources (dmKdVSCS). A hodograph solution for the first type of dmKdVSCS and Bäcklund transformation between the extended dispersionless KP hierarchy (exdKPH) and exdmKPH are also given.