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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.…
nlin.PS2022★ 30 cited
Localized Nonlinear Waves on Spatio-Temporally Controllable Backgrounds for a (3+1)-Dimensional Kadomtsev-Petviashvili-Boussinesq Model in Water Waves
Sudhir Singh, K. Sakkaravarthi, K. Murugesan
Physics of nonlinear waves on variable backgrounds and the relevant mathematical analysis continues to be the challenging aspect of the study. In this work, we consider a (3+1)-dim…