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math.AP2021
Transverse spectral instability in generalized Kadomtsev-Petviashvili equation
Bhavna, Atul Kumar, Ashish Kumar Pandey
We study transverse stability and instability of one-dimensional small-amplitude periodic traveling waves of a generalized Kadomtsev-Petviashvili equation with respect to two-dimen…
math.AP2021
High-frequency instabilities of the Ostrovsky equation
Bhavna, Atul Kumar, Ashish Kumar Pandey
We study spectral stability of small amplitude periodic traveling waves of the Ostrovsky equation. We prove that these waves exhibit spectral instabilities arising from a collision…