A uniqueness result for the two-vortex traveling wave in the nonlinear Schrödinger equation
A uniqueness result for the two-vortex traveling wave in the nonlinear Schrödinger equation
For the nonlinear Schrödinger equation in dimension 2, the existence of a global minimizer of the energy at fixed momentum has been established by Bethuel, Gravejat and Saut (2009) (see also work of Chiron and Maris , ( 2017)).This minimizer is a traveling wave for the nonlinear Schrödinger equation.For large …