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Article overview
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Multi-soliton solution to the two-component Hunter-Saxton equation | | Bao-Feng Feng
; Senyue Lou
; Ruoxia Yao
; | | Date: |
2 Aug 2015 | | Abstract: | 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. | | Source: | arXiv, 1508.0247 | | Services: | Forum | Review | PDF | Favorites | |
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