Faculty of Physics
M.V.Lomonosov Moscow State University
Regular Article

On nonlinear waves described by fifth-order evolution equations

S.A. Arsen'ev, A.Yu. Gubar', N.K. Shelkovnikov

Moscow University Physics Bulletin 1998. 53. N 1. P. 57

  • Article

The fifth-order quadratic-cubic nonlinear equation for long waves in the ocean is reduced to a nonlinear Schr$\stackrel{..}{o}$dinger equation. Solutions in the form ofbreezer long-wave trains modulated by evolvent kinks are derived and studied. Long waves on finite-depth water are proved to be stable.

S.A. Arsen'ev, A.Yu. Gubar', N.K. Shelkovnikov
Department of Marine and Inland Water Physics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
Issue 1, 1998

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