Solitary waves of the rotation-generalized Benjamin-Ono equation

Mathematics – Analysis of PDEs

Scientific paper

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34 pages. Submitted

Scientific paper

This work studies the rotation-generalized Benjamin-Ono equation which is
derived from the theory of weakly nonlinear long surface and internal waves in
deep water under the presence of rotation. It is shown that the solitary-wave
solutions are orbitally stable for certain wave speeds.

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