On the Stability of Periodic Solutions of Nonlinear Dispersive Equations
Finally, we show how our 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 for the gBBM equation analogous to that for the gKdV.
University of Illinois - Urbana-Champaign
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University of Illinois at Urbana-Champaign