On symmetries of the Gibbons-Tsarev equation

H. Baran, P. Blaschke, I. S. Krasil'shchik +1

We study the Gibbons-Tsarev equation $z_{yy}+z_x{z}_{xy}-z_y{z}_{xx}+1=0$ and, using the known Lax pair, we construct infinite series of conservation laws and the algebra of…