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Showing 1 to 2 of 2 for “"Camassa-Holm equation"”.
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On the Stability of Periodic Solutions of Nonlinear Dispersive Equations
… results extend to other classes of dispersive equations. In particular, we derive modulational and finite-wavelength instability indices for the generalized Benjamin-Bona-Mahony (gBBM) equation, as well as the generalized Camassa-Holm equation. Moreover, we prove a transverse instability result …
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Modulational instability in some shallow water wave models
… water wave models like Benjamin-Bona-Mahony and Camassa-Holm equations. We propose a bi-directional shallow water model which generalizes Whitham equation to contain the nonlinearities of nonlinear shallow water equations. The analysis yields a modulational instability index for each model which …