Segregated solutions for nonlinear Schrödinger systems with a large number of components-Reference-Cited by-同舟云学术

Segregated solutions for nonlinear Schrödinger systems with a large number of components

Published:2024-03-12 Issue:2 Volume:24 Page:436-450
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Chen Haixia¹,Pistoia Angela²^ORCID

Affiliation:

1. School of Mathematics and Statistics , Central China Normal University , Wuhan 430079 , P.R. China

2. Dipartimento di Scienze di Base e Applicate per l’Ingegneria , Sapienza Università di Roma , Via Scarpa 16, 00161 Roma , Italy

Abstract

Abstract In this paper we are concerned with the existence of segregated non-radial solutions for nonlinear Schrödinger systems with a large number of components in a weak fully attractive or repulsive regime in presence of a suitable external radial potential.

Funder

H. Chen is partially supported by the NSFC grants

China Scholarship Council

A. Pistoia is also partially supported by INDAM-GNAMPA funds

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/ans-2022-0076/pdf

Reference23 articles.

1. B. D. Esry, C. H. Greene, J. P. BurkeJr., and J. L. Bohn, “Hartree–Fock theory for double condensates,” Phys. Rev. Lett., vol. 78, pp. 3594–3597, 1997, https://doi.org/10.1103/physrevlett.78.3594.

2. B. D. Esry and C. H. Greene, “Spontaneous spatial symmetry breaking in two-component Bose–Einstein condensates,” Phys. Rev. A, vol. 59, pp. 1457–1460, 1999, https://doi.org/10.1103/physreva.59.1457.

3. B. Malomed, “Multi-component Bose–Einstein condensates: theory,” in Emergent Nonlinear Phenomena in Bose–Einstein Condensation, P. G. Kevrekidis, D. J. Frantzeskakis, and R. Carretero- Gonzalez, Eds., Berlin, Springer-Verlag, 2008, pp. 287–305.

4. D. S. Hall, M. R. Matthews, J. R. Ensher, C. E. Wieman, and E. A. Cornell, “Dynamics of component separation in a binary mixture of Bose–Einstein condensates,” Phys. Rev. Lett., vol. 81, pp. 1539–1542, 1998, https://doi.org/10.1103/physrevlett.81.1539.

5. A. S. Parkins and D. F. Walls, “The Physics of trapped dilute-gas Bose–Einstein condensates,” Phys. Rep., vol. 303, pp. 1–80, 1998, https://doi.org/10.1016/s0370-1573(98)00014-3.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Solutions to the coupled Schrödinger systems with steep potential well and critical exponent;Advanced Nonlinear Studies;2024-09-13