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…