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We derive a particular solution of the extended $r$-reduced KP hierarchy, which is specified by a generalized string equation.
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Bakalov, B., Milanov, T. (2013). 𝒲 \mathcal{W} -constraints for the total descendant potential of a simple singularity. Compositio Mathematica, 149
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Ke, H.-Z. (2014). On a conjectural solution to open KdV and Virasoro. arXiv preprint arXiv:1409.7470
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Fan, H., Jarvis, T., Ruan, Y. (2013). The Witten equation, mirror symmetry and quantum singularity theory. Ann. of Math.(2), 178
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