Domain walls in a generalized Chern-Simons model

In this paper we study the structure of one dimensional topological solitons in a generalized Abelian-Higgs Chern-Simons model where the kinetic term is non-canonical. We present an example of an analytical self-dual electrically charged soliton solution which has a finite momentum per unit length along its direction. We compared the physical properties of our soliton with those for wall of Jackiw-Lee-Weinberg wall presented in Jackiw et al. (Phys. Rev. D 42:3488, 1990) to conclude that the non-canonical kinetic term can make the wall thicker redistributing uniformly the momentum flow along it.