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math.AP2019
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…
math-ph2019
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…