Work

Concentrating solutions of nonlinear Schrödinger systems with mixed interactions

Year: 2025

Type: article

Abstract: In this paper, we study the existence of solutions to nonlinear Schrödinger systems with mixed couplings of attractive and repulsive forces, which arise from the models in Bose–Einstein condensates and nonlinear optics. In particular, we build solutions whose first component has one bump and the other components have several peaks forming a regular polygon around the single bump of the first component.

Source: Communications in Contemporary Mathematics

DOI: 10.1142/s0219199726500185

Authors: Qing Guo, Angela Pistoia, Shixin Wen

Institutions: Minzu University of China, Sapienza University of Rome, Central China Normal University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", National Natural Science Foundation of China, Sapienza Università di Roma, China Scholarship Council

Awards: G2139031357, G8706009339