caa a22 4500 477037151 CHVBK 20180405111308.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF02434052 doi (NATIONALLICENCE)springer-10.1007/BF02434052 Gravity waves on the surface of the sphere [Elektronische Daten] [R. de la Llave, P. Panayotaros] Summary: We propose a Hamiltonian model for gravity waves on the surface of a fluid layer surrounding a gravitating sphere. The general equations of motion are nonlocal and can be used as a starting point for simpler models, which can be derived systematically by expanding the Hamiltonian in dimensionless parameters. In this paper, we focus on the small wave amplitude regime. The first-order nonlinear terms can be eliminated by a formal canonical transformation. Similarly, many of the second order terms can be eliminated. The resulting model has the feature that it leaves invariant several finite-dimensional subspaces on which the motion is integrable. Springer-Verlag New York Inc, 1996 de la Llave R. Department of Mathematics, The University of Texas at Austin, 78712, Austin, TX aut Panayotaros P. Department of Physics, The University of Texas at Austin, 78712, Austin, TX aut Journal of Nonlinear Science Springer-Verlag 6/2(1996-03-01), 147-167 0938-8974 6:2<147 1996 6 332 https://doi.org/10.1007/BF02434052 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02434052 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- de la Llave R. Department of Mathematics, The University of Texas at Austin, 78712, Austin, TX aut NATIONALLICENCE 700 1- Panayotaros P. Department of Physics, The University of Texas at Austin, 78712, Austin, TX aut NATIONALLICENCE 773 0- Journal of Nonlinear Science Springer-Verlag 6/2(1996-03-01), 147-167 0938-8974 6:2<147 1996 6 332 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer