摘要
A hierarchy of non-isospectral Ablowitz-Kaup-Newell-Segur (AKNS) equations with self-consistent sources is derived. As a general reduction case, a hierarchy of non-isospectral nonlinear SchrSdinger equations (NLSE) with selfconsistent sources is obtained. Moreover, a new non-isospectral integrable coupling of the AKNS soliton hierarchy with self-consistent sources is constructed by using the Kronecker product.
A hierarchy of non-isospectral Ablowitz-Kaup-Newell-Segur (AKNS) equations with self-consistent sources is derived. As a general reduction case, a hierarchy of non-isospectral nonlinear SchrSdinger equations (NLSE) with selfconsistent sources is obtained. Moreover, a new non-isospectral integrable coupling of the AKNS soliton hierarchy with self-consistent sources is constructed by using the Kronecker product.
基金
Project supported by the Research work of Liaoning Provincial Development of Education, China (Grant No 2008670)