摘要
We present the multi-component Hunter-Saxton andμ-Camassa-Holm systems.It is shown that the multicomponent Camassa-Holm,Hunter-Saxton andμ-Camassa-Holm systems are geometrically integrable,namely they describe pseudo-spherical surfaces.As a consequence,their infinite number of conservation laws can be directly constructed.For the three-component Camassa-Holm and Hunter-Saxton systems,their nonlocal symmetries depending on the pseudo-potentials are obtained.
作者
YAN Lu
SONG Jun-Feng
QU Chang-Zheng
闫璐;宋军锋;屈长征(Department of Mathematics,Northwest University,Xi’an 710069;College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062)
基金
Supported by the National Natural Science Foundation of China for Distinguished Young Scholars(No 10925104).
