caa a22 4500 465811329 CHVBK 20180323112117.0 cr unu---uuuuu 170327e19900301xx s 000 0 eng 10.1007/BF02108861 doi (NATIONALLICENCE)springer-10.1007/BF02108861 Cewen Cao Department of Mathematics, Zhengzhou University, People's Republic of China aut Stationary Harry-Dym's equation and its relation with geodesics on ellipsoid [Elektronische Daten] [Cao Cewen] Harry-Dym's equation (HD) $$r_\tau = (r^{ - \tfrac{1}{2}} )_{xxx} $$ is well-known for its cusp soliton solutions. In this paper, relations are revealed between HD and a completely integrable Hamiltonian system in Liouville sense given by $$H = \frac{1}{2}\left\langle {p,p} \right\rangle - \left\langle {q,q} \right\rangle ^{ - 1} $$ in the symplectic manifold (ℝ2N ,dp/∩). Here 〈ξ,η〉 is the standard inner product in ℝ N . Springer-Verlag, 1990 Acta Mathematica Sinica Springer-Verlag 6/1(1990-03-01), 35-41 1439-8516 6:1<35 1990 6 10114 https://doi.org/10.1007/BF02108861 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02108861 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Cewen Cao Department of Mathematics, Zhengzhou University, People's Republic of China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica Springer-Verlag 6/1(1990-03-01), 35-41 1439-8516 6:1<35 1990 6 10114 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer