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Solitary waves of the rotation-generalized Benjamin-Ono equation

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  • 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.
    Mathematics Subject Classification: Primary: 35Q35, 76B55, 76U05; Secondary: 76B25, 35B35.

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