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Showing 1 to 3 of 3 for “"Transverse instability"”.

  1. On the Stability of Periodic Solutions of Nonlinear Dispersive Equations

    … 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.

    uiuc Repository record for On the Stability of Periodic Solutions of Nonlinear Dispersive Equations (opens in a new tab)

  2. Modeling and analysis of nanoscale surface patterns produced by broad beam ion bombardment

    … projected beam direction even when there is no transverse instability, and needle-like protrusions that are visually similar to structures observed in experimental studies. Finally, we applied deep learning techniques to estimate the parameters in the underlying equation of motion from an image …

    colostate Repository record for Modeling and analysis of nanoscale surface patterns produced by broad beam ion bombardment (opens in a new tab)

  3. A numerical study on the propagation and interaction of strongly nonlinear solitary waves

    … of large amplitude solitary waves subject to transverse perturbations with assuming that the characteristic wavelength in the transverse direction is much greater than that in the wave propagation direction. Using an asymptotic approach, a sufficient condition for instability is obtained. To …

    njit Repository record for A numerical study on the propagation and interaction of strongly nonlinear solitary waves (opens in a new tab)