%0 Journal Article
%T Multi-soliton solution to the two-component Hunter-Saxton equation
%A Bao-Feng Feng
%A Senyue Lou
%A Ruoxia Yao
%J Physics
%D 2015
%I arXiv
%X In this paper, we study the bilinear form and the general N-soliton solution for a two-component Hunter-Saxton (2-HS) equation, which is the short wave limit of a twocomponent Camassa-Holm equation. By defining a hodograph transformation based on a conservation law and appropriate dependent variable transformations, we propose a set of bilinear equations which yields the 2-HS equation. Furthermore, we construct the N-soliton solution to the 2-HS equation based on the tau functions of an extended two-dimensional Toda-lattice hierarchy through reductions. One- and two-soliton solutions are calculated and analyzed.
%U http://arxiv.org/abs/1508.00247v1