Katelyn Grayshan

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Current mathematical scintillation theory describing laser propagation through the atmosphere has been developed for terrestrial environments. Scintillation expressions valid in all regimes of optical turbulence for propagation in the maritime environment, based on what we believe to be a newly developed marine atmospheric spectrum, have been developed for(More)
This work considers a two-parameter family of Camassa–Holm type equations and demonstrates that they possess peakon traveling wave solutions, which reside in any Sobolev space with exponent less than 3/2. Furthermore, using these peakons two sequences of solutions are constructed whose distance at the initial time goes to zero while at any later time their(More)
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