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Transverse spectral instability in generalized Kadomtsev-Petviashvili equation by Bhavna; Kumar, Atul; Pandey, Ashish Kumar is a scholarly article available to read on EtoBox.

What is Transverse spectral instability in generalized Kadomtsev-Petviashvili equation about?

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.

Author

Bhavna; Kumar, Atul; Pandey, Ashish Kumar

Published

2021

Language

EN