Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Prof. Baofeng Feng, Department of Mathematics, University of Texas--Pan American, USA
Inviter:
Xingbiao Hu
Title:
Two-component Hunter-Saxton equation
Time & Venue:
2015.8.7 20:00-21:00 N602
Abstract:
In this talk, 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 two-component Camassa-Holm equation. By defining a hodograph transformation based on aconservation law and appropriate dependent variable transformations, we propose a set ofbilinear equations which yields the 2-HS equation. Furthermore, we construct the N-solitonsolution to the 2-HS equation based on the tau functions of an extended two-dimensionalToda-lattice hierarchy through reductions. One- and two-soliton solutions are calculated andanalyzed.
Appendix：
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