Equivalence and nonexistence of standing waves for coupled Schrodinger equations with Chern-Simons gauge fields
DOI:
https://doi.org/10.12775/TMNA.2015.056Keywords
N=2 supersymmetric Chern-Simons-Schrodinger, critical coupling constants, self-dual systemAbstract
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.Downloads
Published
2015-09-01
How to Cite
1.
HUH, Hyungjin and SEOK, Jinmyoung. Equivalence and nonexistence of standing waves for coupled Schrodinger equations with Chern-Simons gauge fields. Topological Methods in Nonlinear Analysis. Online. 1 September 2015. Vol. 46, no. 1, pp. 495 - 504. [Accessed 28 March 2024]. DOI 10.12775/TMNA.2015.056.
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