4 citations · 8 across the 7 of their papers we have counts for
9 papers
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…
Prediction of Landfall Intensity, Location, and Time of a Tropical Cyclone
Sandeep Kumar, Koushik Biswas, Ashish Kumar Pandey
The prediction of the intensity, location and time of the landfall of a tropical cyclone well advance in time and with high accuracy can reduce human and material loss immensely. I…
Predicting Landfall's Location and Time of a Tropical Cyclone Using Reanalysis Data
Sandeep Kumar, Koushik Biswas, Ashish Kumar Pandey
Landfall of a tropical cyclone is the event when it moves over the land after crossing the coast of the ocean. It is important to know the characteristics of the landfall in terms…
EIS -- a family of activation functions combining Exponential, ISRU, and Softplus
Koushik Biswas, Sandeep Kumar, Shilpak Banerjee +1
Activation functions play a pivotal role in the function learning using neural networks. The non-linearity in the learned function is achieved by repeated use of the activation fun…
TanhSoft -- a family of activation functions combining Tanh and Softplus
Koushik Biswas, Sandeep Kumar, Shilpak Banerjee +1
Deep learning at its core, contains functions that are composition of a linear transformation with a non-linear function known as activation function. In past few years, there is a…
Comparison of modulational instabilities in full-dispersion shallow water models
Ashish Kumar Pandey
We study the modulational instability of a shallow water model, with and without surface tension, which generalizes the Whitham equation to include bi-directional propagation. With…
Modulational instability in the full-dispersion Camassa-Holm equation
Vera Mikyoung Hur, Ashish K. Pandey
We determine the stability and instability of a sufficiently small and periodic traveling wave to long wavelength perturbations, for a nonlinear dispersive equation which extends a…
Modulational instability in a full-dispersion shallow water model
Vera Mikyoung Hur, Ashish Kumar Pandey
We propose a shallow water model which combines the dispersion relation of water waves and the Boussinesq equations, and which extends the Whitham equation to permit bidirectional…
Modulational instability in nonlinear nonlocal equations of regularized long wave type
Vera Mikyoung Hur, Ashish Kumar Pandey
We study the stability and instability of periodic traveling waves in the vicinity of the origin in the spectral plane, for equations of Benjamin- Bona-Mahony (BBM) and regularized…