Section: New Results

Nonlinear Schrödinger equation

S. De Bièvre, S. Rota Nodari (CEMPI postdoc 2013-2015) and F. Genoud (CEMPI visitor, September 2013) have explained the geometry underlying the so-called energy-momentum method for proving orbital stability in infinite dimensional Hamiltonian systems. Applications include the orbital stability of solitons of the NLS and Manakov equations. This work is to appear as a chapter (120p) in the first volume of the CEMPI Lecture Notes in Mathematics, cf. [24] .