Yuqin Yao, Yehui Huang, Yunbo Zeng, “The two-component Camassa–Holm equation with self-consistent sources and its multisoliton solutions”, TMF, 2010, Volume 162, Number 1,Pages <nobr>75

This article is cited in 4 papers

The two-component Camassa–Holm equation with self-consistent sources and its multisoliton solutions

Yuqin Yao^a, Yehui Huang^b, Yunbo Zeng^b

^a Department of Applied Mathematics, China Agricultural University
^b Department of Mathematics, Tsinghua University, Beijing, China

Abstract: We derive the two-component Camassa–Holm equation with self-consistent sources and its Lax representation. We construct the conservation laws for this equation and present multisoliton solutions.

Keywords: two-component Camassa–Holm equation with self-consistent sources, reciprocal transformation, Darboux transformation, soliton.

Received: 21.11.2008
Revised: 14.03.2009

DOI: 10.4213/tmf6456