前田 昌也

We prove the existence of a two-parameter family of small quasi-periodic solutions of the discrete nonlinear Schrodinger equation (DNLS). We further show that all small solutions of DNLS decouple to one of these quasi-periodic solutions and disper...

We explain how spectrally stable vortices of the nonlinear Schrodinger equation in the plane can be orbitally unstable. This relates to the nonlinear Fermi golden rule, a mechanism which exploits the nonlinear interaction between discrete and cont...

We consider a nonlinear Klein Gordon equation (NLKG) with short range potential with eigenvalues and show that in the contest of complex valued solutions the small standing waves are attractors for small solutions of the NLKG. This extends the res...