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|θ−N ∗|u|p)|u|p−2u. 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; D'Avenia, Pietro; Ghimenti, Marco; Squassina, Marco. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 417:(2014), pp. 180-199. [10.1016/j.jmaa.2014.02.063]
Soliton dynamics for the generalized Choquard equation
D'AVENIA, Pietro;
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|θ−N ∗|u|p)|u|p−2u. This problem is particularly interesting because the ground state solutions are not known to be unique or non-degenerate.File in questo prodotto:
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