We investigate the soliton dynamics for a class of nonlinear Schrödinger equations with a non-local nonlinear term. In particular, we consider what we call generalized Choquard equation where the nonlinear term is $(|x|^{\theta-N} \star |u|^p) |u|^{p-2} u$. This problem is particularly interesting because the ground state solutions are not known to be unique or non-degenerate.
Soliton dynamics for the generalized Choquard equation
BONANNO, CLAUDIO;GHIMENTI, MARCO GIPO;
2014-01-01
Abstract
We investigate the soliton dynamics for a class of nonlinear Schrödinger equations with a non-local nonlinear term. In particular, we consider what we call generalized Choquard equation where the nonlinear term is $(|x|^{\theta-N} \star |u|^p) |u|^{p-2} u$. This problem is particularly interesting because the ground state solutions are not known to be unique or non-degenerate.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
