摘要
We present an integrable sl(2)-matrix Camassa-Holm(CH)equation.The integrability means that the equation possesses zero-curvature representation and infinitely many conservation laws.This equation includes two undetermined functions,which satisfy a system of constraint conditions and may be reduced to a lot of known multicomponent peakon equations.We find a method to construct constraint condition and thus obtain many novel matrix CH equations.For the trivial reduction matrix CH equation we construct its N-peakon solutions.
We present an integrable sl(2)-matrix Camassa-Holm(CH) equation.The integrability means that the equation possesses zero-curvature representation and infinitely many conservation laws.This equation includes two undetermined functions,which satisfy a system of constraint conditions and may be reduced to a lot of known multicomponent peakon equations.We find a method to construct constraint condition and thus obtain many novel matrix CH equations.For the trivial reduction matrix CH equation we construct its N-peakon solutions.
作者
产丽凤
夏保强
周汝光
Li-Feng Chan;Bao-Qiang Xia;Ru-Guang Zhou(Kewen College,Jiangsu Normal University,Xuzhou 221116,China;School of Mathematics and Statistics,Jiangsu Normal University,Xuzhou 221116,China)
基金
Supported by National Natural Science Foundation of China under Grant Nos.11771186 and 11671177
