1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.AP2022★ 1 cited
Transverse Spectral Instabilities in Konopelchenko-Dubrovsky Equation
Bhavna, Ashish Kumar Pandey, Sudhir Singh
We study the transverse spectral stability of the one-dimensional small-amplitude periodic traveling wave solutions of the (2+1)-dimensional Konopelchenko-Dubrovsky (KD) equation.…
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…