caa a22 4500 475775430 CHVBK 20180406123630.0 cr unu---uuuuu 170329e20000101xx s 000 0 eng 10.1007/BF02465241 doi (NATIONALLICENCE)springer-10.1007/BF02465241 Karabut E. aut Higher-order approximations of cnoidal-wave theory [Elektronische Daten] [E. Karabut] A solution of the problem of gravity waves on a liquid surface is sought in the form of a series whose first term corresponds to shallow-water theory. Such series have been previously studied numerically and analytically but their structure remains unclear because of the complicated initial formulation of the problem. In the present paper, instead of the strongly linear boundary-valua problem with a free boundary containing several unknown functions, we solve an ordinary quadratic-nonlinear differential-difference equation of the first order containing an unknown function. Kluwer Academic/Plenum Publishers, 2000 Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Plenum Publishers 41/1(2000-01-01), 84-94 0021-8944 41:1<84 2000 41 10808 https://doi.org/10.1007/BF02465241 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02465241 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Karabut E. aut NATIONALLICENCE 773 0- Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Plenum Publishers 41/1(2000-01-01), 84-94 0021-8944 41:1<84 2000 41 10808 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer