Some Exact Solutions of a Nonintegrable Toda-type Equation
- 주제(키워드) Toda equation , Vortex , Chern-Simons theory
- 주제(기타) Physics, Multidisciplinary
- 설명문(일반) [Kim, Chanju] Ewha Womans Univ, Dept Phys, Seoul 03760, South Korea
- 발행기관 KOREAN PHYSICAL SOC
- 발행년도 2018
- URI http://www.dcollection.net/handler/ewha/000000151523
- 본문언어 영어
- Published As http://dx.doi.org/10.3938/jkps.72.1000
- 저작권 이화여자대학교 논문은 저작권에 의해 보호받습니다.
초록/요약
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.
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