Description

• Title:
  Equivalence and nonexistence of standing waves for coupled Schrodinger equations with Chern-Simons gauge fields
• Creator:
  Huh, Hyungjin;
  Seok, Jinmyoung
• Description:
  This paper is devoted to the study of standing waves for so-called $N=2$ supersymmetric Chern--Simons--Schrodinger equations, a coupled system of Schr\"odinger equations in which Chern--Simons gauge fields are incorporated. We show that there is no nontrivial standing wave to the $N=2$ supersymmetric Chern--Simons--Schrodinger equations when the coupling constants are less than critical numbers. We also prove that static $N=2$ supersymmetric Chern--Simons--Schrodinger equations are equivalent to their first order self-dual system when the coupling constants are critical.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2015 Topological Methods in Nonlinear Analysis
• Date:
  2015.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 46, No 1 (September 2015); 495 - 504;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.056/7220
• Subject:
  N=2 supersymmetric Chern-Simons-Schrodinger;
  critical coupling constants;
  self-dual system;
  35L15;
  35L45;
  35Q40;
  35F25
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.056
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other