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Paper detail

Transverse spectral instability in generalized Kadomtsev-Petviashvili equation

We study transverse stability and instability of one-dimensional small-amplitude periodic traveling waves of a generalized Kadomtsev-Petviashvili equation with respect to two-dimensional perturbations, which are either periodic or square-integrable in the direction of the propagation of the underlying one-dimensional wave and periodic in the transverse direction. We obtain transverse instability results in KP-fKdV, KP-ILW, and KP-Whitham equations. Moreover, assuming the spectral stability of one-dimensional wave with respect to one-dimensional square-integrable periodic perturbations, we obtain transverse stability results in aforementioned equations.

preprint2022arXivOpen access
BhavnaAtul KumarAshish Kumar Pandey
math.APmath-phmath.MP
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BhavnaAtul KumarAshish Kumar Pandey

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