48 citations · 74 across the 11 of their papers we have counts for
12 papers
Explicit Runge-Kutta algorithm to solve non-local equations with memory effects: case of the Maxey-Riley-Gatignol equation
Divya Jaganathan, Rama Govindarajan, Vishal Vasan
A standard approach to solve ordinary differential equations, when they describe dynamical systems, is to adopt a Runge-Kutta or related scheme. Such schemes, however, are not appl…
Ocean-depth measurement using shallow-water wave models
Vishal Vasan, Manisha, Didier Auroux
In this paper, we consider a problem inspired by the real-world need to identify the topographical features of ocean basins. Specifically we consider the problem of estimating the…
Soliton-like behaviour in non-integrable systems
Raghavendra Nimiwal, Urbashi Satpathi, Vishal Vasan +1
We present a general scheme for constructing robust excitations (soliton-like) in non-integrable multicomponent systems. By robust, we mean localised excitations that propagate wit…
Spatio-temporal relationships between rainfall and convective clouds during Indian Monsoon through a discrete lens
Arjun Sharma, Adway Mitra, Vishal Vasan +1
The Indian monsoon, a multi-variable process causing heavy rains during June-September every year, is very heterogeneous in space and time. We study the relationship between rainfa…
Linear Dispersive Shocks
David Smith, Thomas Trogdon, Vishal Vasan
We present a linear dispersive partial differential equation which manifests a number of qualitative features of dispersive shocks, typically thought to occur only in nonlinear mod…
Provable bounds for the Korteweg-de Vries reduction in multi-component Nonlinear Schrodinger Equation
Swetlana Swarup, Vishal Vasan, Manas Kulkarni
We study the dynamics of multi-component Bose gas described by the Vector Nonlinear Schrödinger Equation (VNLS), aka the Vector Gross--Pitaevskii Equation (VGPE) . Through a Madelu…