Geodesic
On symmetry classification of third order evolutionary systems of divergent type
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 7, pp. 141-161

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A symmetry classification is presented for integrable two-field third-order evolutionary systems of divergent type. The list contains thirteen exactly integrable systems. For eleven of them, differential substitutions that relate the systems with the known systems by Drinfeld–Sokolov, Ito, and Hirota–Satsuma are found. The two remaining systems seem to be new. 
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     author = {A. G. Meshkov},
     title = {On symmetry classification of third order evolutionary systems of divergent type},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {141--161},
     publisher = {mathdoc},
     volume = {12},
     number = {7},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2006_12_7_a10/}
}
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A. G. Meshkov. On symmetry classification of third order evolutionary systems of divergent type. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 7, pp. 141-161. http://geodesic.mathdoc.fr/item/FPM_2006_12_7_a10/