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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2000; 37(6): 977-989

Printed November 1, 2000

Copyright © The Korean Mathematical Society.

Standing wave solutions for the planer Chern-Simons gauged nonlinear Schr\"{o}dinger equation with an external electromagnetic field

Kazuhiro Kurata

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In this paper we construct a standing solitary wave solution with prescribed total electric charge to the planer ChernSimons gauged nonlinear Schrodinger equation with an external electromagnetic field by using a variational method.

Keywords: Chern-Simons gauged nonlinear Schr\"odinger equation, non-relativistic model, standing wave solution, constrained minimizing problem

MSC numbers: Primary 35J20; Secondary 35Q55, 35J60

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