Geodesic
Generalized integrability and two-dimensional gravitation
Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 2, pp. 258-275

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We review the construction of generalized integrable hierarchies of partial differential equations, associated to affine Kac–Moody algebras, that include those considered by Drinfel'd and Sokolov. These hierarchies can be used to construct new models of 2D quantum or topological gravity, as well as new $W$-algebras. 
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     title = {Generalized integrability and two-dimensional gravitation},
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T. Hollowood; J. L. Miramontes; J. S. Guillén. Generalized integrability and two-dimensional gravitation. Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 2, pp. 258-275. http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a10/