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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

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Annotation

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.

Rissian citation:
С.А. Арсеньев, А.Ю. Губарь, Н.К. Шелковников.
О нелинейных волнах, описываемых эволюционными уравнениями 5-го порядка.
Вестн. Моск. ун-та. Сер. 3. Физ. Астрон. 1998. № 1. С. 46.
Authors
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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