Soliton dynamics for the generalized Choquard equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:417

Article

Bonanno, Claudio¹  d'Avenia, Pietro²  Ghimenti, Marco¹  Squassina, Marco³ 

[1] Univ Pisa, Dipartimento Matemat, I-56127 Pisa, Italy

[2] Politecn Bari, Dipartimento Meccan Matemat & Management, I-70125 Bari, Italy

[3] Univ Verona, Dipartimento Informat, I-37134 Verona, Italy

关键词: Soliton dynamics;    Choquard equation;    Hartree equation;    Modulational stability;    Ground states;   

DOI  :  10.1016/j.jmaa.2014.02.063

来源: Elsevier

【 摘 要 】

We investigate the soliton dynamics for a class of nonlinear Schrodinger equations with a non-local nonlinear term. In particular, we consider what we call generalized Choquard equation where the nonlinear term is (vertical bar x vertical bar(theta-N) * vertical bar u vertical bar(p))vertical bar u vertical bar(p-2)u. This problem is particularly interesting because the ground state solutions are not known to be unique or non-degenerate. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free