TY - JOUR
AU - 김찬주
DA - 2018
UR - http://dspace.ewha.ac.kr/handle/2015.oak/247866
AB - We study a Toda-type equation with two scalar fields which is not integrable and construct two families of exact solutions which are expressed in terms of rational functions. The equation appears in U(1) Chern-Simons theories coupled to two nonrelativistic matter fields with opposite charges. One family of solutions is a trivial embedding of Liouville-type solutions. The other family is obtained by transforming the equation into the Taubes vortex equation on the hyperbolic space. Though the Taubes equation is not integrable, a trivial vacuum solution provides nontrivial solutions to the original Toda-type equation. © 2018, The Korean Physical Society.
LA - English
PB - The Korean Physical Society
KW - Chern-Simons theory
KW - Toda equation
KW - Vortex
TI - Some Exact Solutions of a Nonintegrable Toda-type Equation
IS - 9
VL - 72
DO - 10.3938/jkps.72.1000
ER -