References
- H. Baran, I.S. Krasil'shchik, O.I. Morozov, and P. Vojčák, Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems, J. of Nonlinear Math. Phys., 21, (2014) 4, 643–671. doi: 10.1080/14029251.2014.975532
- H. Baran, I.S. Krasil'shchik, O.I. Morozov, and P. Vojčák, Integrability properties of some equations obtained by symmetry reductions, J. of Nonlinear Math. Phys., 22, (2015) 2, 210–232. doi: 10.1080/14029251.2015.1023582
- H. Baran, M. Marvan, Jets. A software for differential calculus on jet spaces and diffeties. http://jets.math.slu.cz
- A.V. Bocharov et al., Symmetries of Differential Equations in Mathematical Physics and Natural Sciences, edited by A.M. Vinogradov and I.S. Krasil'shchik). Factorial Publ. House, 1997 (in Russian). English translation: Amer. Math. Soc., 1999.
- M. Dunajski, A class of Einstein–Weil spaces associated to an integrable system of hydrodynamic type, J. Geom. Phys., 51, (2004), 126–137. doi: 10.1016/j.geomphys.2004.01.004
- E.V. Ferapontov, J. Moss, Linearly degenerate partial differential equations and quadratic line complexes, Comm. in Anal. and Geom., 23, (2015) 1, 91–127. doi: 10.4310/CAG.2015.v23.n1.a3
- J. Gibbons and S.P. Tsarev, Reductions of the Benney equations, Physics Letters A, 211, (1996) 1, 19–24. doi: 10.1016/0375-9601(95)00954-X
- I.S. Krasil'shchik, A.M. Vinogradov, Nonlocal trends in the geometry of differential equations: symmetries, conservation laws, and Bäcklund transformations, Acta Appl. Math. 15, (1989) 1–21, 61–209. doi: 10.1007/BF00131935
- V.G. Mikhalev, On the Hamiltonian formalism for Korteweg-de Vries type hierarchies, Funktsional. Anal. i Prilozhen., 26, (1992) 2, 79–82; Funct. Anal. Appl., 26, (1992) 2, 140–142. doi: 10.1007/BF01075282
- M.V. Pavlov, Integrable hydrodynamic chains, J. Math. Phys., 44, (2003) 4134–4156. doi: 10.1063/1.1597946
- M.V. Pavlov, Jen Hsu Chang, Yu Tung Chen, Integrability of the Manakov-Santini hierarchy, arXiv: 0910.2400, 2009.