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Creators/Authors contains: "Ehrman, Brett"

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  1. ; (, Physics D)
    In this paper, we identify criteria that guarantees the nonlinear orbital stability of a given periodic traveling wave solution within the b-family Camassa-Holm equation. These periodic waves exist as 3-parameter families (up to spatial translations) of smooth traveling wave solu- tions, and their stability criteria are expressed in terms of Jacobians of the conserved quantities with respect to these parameters. The stability criteria utilizes a general Hamiltonian structure which exists for every b > 1, and hence applies outside of the completely integrable cases (b = 2 and b = 3). 
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