Sato–Bäcklund transformations and string equations of the mKP hierarchy
2019 ◽
Vol 34
(25)
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pp. 1950142
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Keyword(s):
Additional symmetry is an important kind of symmetries depending explicitly on the time and space variables, which can be expressed through Sato–Bäcklund transformations. In this paper, we construct Sato–Bäcklund transformations of the modified KP hierarchy and its constrained cases. Then the string equations of the [Formula: see text]-reduced modified KP hierarchy are established by requiring the system independent on some additional symmetry flows, which are expressed by the Lax operator [Formula: see text] and the Orlov–Shulman’s operator [Formula: see text]. At last, we obtain the negative Virasoro constraint on the two tau functions of the 2-reduced modified KP hierarchy satisfying the string equations.
2018 ◽
Vol 32
(17)
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pp. 1850181
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2010 ◽
Vol 43
(13)
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pp. 135202
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1993 ◽
Vol 08
(03)
◽
pp. 507-543
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1993 ◽
Vol 08
(20)
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pp. 3457-3478
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Keyword(s):
2017 ◽
Vol 72
(4)
◽
pp. 331-337
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Keyword(s):
1994 ◽
Vol 27
(2)
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pp. L33-L38
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