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Models for internal waves in deep water

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  • We study properties of solitary-wave solutions of three evolution equations arising in the modeling of internal waves. Our experiments indicate that broad classes of initial data resolve into solitary waves, but also suggest that solitary waves do not interact exactly, thus suggesting two of these equations are not integrable. In the course of our numerical simulations, interesting meta-stable quasi-periodic structures have also come to light.
    Mathematics Subject Classification: 35S10, 35Q53, 37K10, 45K05, 47G20, 65M70, 76B25, 76B55.


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